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3783761380 = 2257216323687
BaseRepresentation
bin1110000110000111…
…1001110111100100
3100202200210222211101
43201201321313210
530222120331010
61423243045444
7162523304200
oct34141716744
910680728741
103783761380
11167191aa23
12897210884
13483ba0079
1427c745b00
151722ae73a
hexe1879de4

3783761380 has 72 divisors (see below), whose sum is σ = 9300287808. Its totient is φ = 1289276352.

The previous prime is 3783761357. The next prime is 3783761437. The reversal of 3783761380 is 831673873.

It is a self number, because there is not a number n which added to its sum of digits gives 3783761380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147897 + ... + 171583.

It is an arithmetic number, because the mean of its divisors is an integer number (129170664).

Almost surely, 23783761380 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 3783761380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650143904).

3783761380 is an abundant number, since it is smaller than the sum of its proper divisors (5516526428).

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

3783761380 is a wasteful number, since it uses less digits than its factorization.

3783761380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23873 (or 23864 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 3783761380 is about 61512.2864149919. The cubic root of 3783761380 is about 1558.2647508939.

It can be divided in two parts, 378376 and 1380, that added together give a triangular number (379756 = T871).

The spelling of 3783761380 in words is "three billion, seven hundred eighty-three million, seven hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 163 196 245 326 490 652 815 980 1141 1630 2282 3260 4564 5705 7987 11410 15974 22820 23687 31948 39935 47374 79870 94748 118435 159740 165809 236870 331618 473740 663236 829045 1160663 1658090 2321326 3316180 3860981 4642652 5803315 7721962 11606630 15443924 19304905 23213260 27026867 38609810 54053734 77219620 108107468 135134335 189188069 270268670 378376138 540537340 756752276 945940345 1891880690 3783761380