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3781317376 = 28197011109
BaseRepresentation
bin1110000101100010…
…0101001100000000
3100202112012211021201
43201120211030000
530221004124001
61423114430544
7162463444624
oct34130451400
910675184251
103781317376
111670500791
12896432454
13483525805
1427c2ab184
15171e7a501
hexe1625300

3781317376 has 72 divisors (see below), whose sum is σ = 7963628400. Its totient is φ = 1786982400.

The previous prime is 3781317347. The next prime is 3781317377. The reversal of 3781317376 is 6737131873.

It is a super-2 number, since 2×37813173762 = 28596722196079050752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3781317377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3409110 + ... + 3410218.

It is an arithmetic number, because the mean of its divisors is an integer number (110605950).

Almost surely, 23781317376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981814200).

3781317376 is an abundant number, since it is smaller than the sum of its proper divisors (4182311024).

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

3781317376 is a wasteful number, since it uses less digits than its factorization.

3781317376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1831 counting only the distinct ones).

The product of its digits is 444528, while the sum is 46.

The square root of 3781317376 is about 61492.4172235894. The cubic root of 3781317376 is about 1557.9291742750.

The spelling of 3781317376 in words is "three billion, seven hundred eighty-one million, three hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 701 1109 1216 1402 2218 2432 2804 4436 4864 5608 8872 11216 13319 17744 21071 22432 26638 35488 42142 44864 53276 70976 84284 89728 106552 141952 168568 179456 213104 283904 337136 426208 674272 777409 852416 1348544 1554818 1704832 2697088 3109636 3409664 5394176 6219272 12438544 14770771 24877088 29541542 49754176 59083084 99508352 118166168 199016704 236332336 472664672 945329344 1890658688 3781317376