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3865678938 = 2331159731511
BaseRepresentation
bin1110011001101001…
…1001010001011010
3100222101221211121000
43212122121101122
530404103211223
61435330525430
7164536504662
oct34632312132
910871854530
103865678938
111704090890
128ba736876
13497b521b4
1428958b1a2
15179591543
hexe669945a

3865678938 has 128 divisors (see below), whose sum is σ = 9667123200. Its totient is φ = 1135036800.

The previous prime is 3865678913. The next prime is 3865678939. The reversal of 3865678938 is 8398765683.

3865678938 is a `hidden beast` number, since 38 + 6 + 567 + 8 + 9 + 38 = 666.

3865678938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3865678939) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2557603 + ... + 2559113.

It is an arithmetic number, because the mean of its divisors is an integer number (75524400).

Almost surely, 23865678938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865678938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833561600).

3865678938 is an abundant number, since it is smaller than the sum of its proper divisors (5801444262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3865678938 is a wasteful number, since it uses less digits than its factorization.

3865678938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 3865678938 is about 62174.5843411920. The cubic root of 3865678938 is about 1569.4299170299.

The spelling of 3865678938 in words is "three billion, eight hundred sixty-five million, six hundred seventy-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 73 99 118 146 177 198 219 297 354 438 531 594 649 657 803 1062 1298 1314 1511 1593 1606 1947 1971 2409 3022 3186 3894 3942 4307 4533 4818 5841 7227 8614 9066 11682 12921 13599 14454 16621 17523 21681 25842 27198 33242 35046 38763 40797 43362 47377 49863 77526 81594 89149 94754 99726 110303 116289 142131 149589 178298 220606 232578 267447 284262 299178 330909 426393 448767 534894 661818 802341 852786 897534 980639 992727 1213333 1279179 1604682 1961278 1985454 2407023 2426666 2558358 2941917 2978181 3639999 4814046 5883834 5956362 6507877 7279998 8825751 10919997 13015754 17651502 19523631 21839994 26477253 32759991 39047262 52954506 58570893 65519982 71586647 117141786 143173294 175712679 214759941 351425358 429519882 644279823 1288559646 1932839469 3865678938