3905764502112 has 432 divisors, whose sum is σ = 12530305032336. Its totient is φ = 1152482918400.

The previous prime is 3905764502093. The next prime is 3905764502147. The reversal of 3905764502112 is 2112054675093.

3905764502112 is a `hidden beast` number, since 3 + 9 + 0 + 576 + 4 + 50 + 21 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 838684488 + ... + 838689144.

It is an arithmetic number, because the mean of its divisors is an integer number (29005335723).

Almost surely, 2^{3905764502112} is an apocalyptic number.

3905764502112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905764502112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265152516168).

3905764502112 is an abundant number, since it is smaller than the sum of its proper divisors (8624540530224).

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

3905764502112 is a wasteful number, since it uses less digits than its factorization.

3905764502112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 3905764502112 in words is "three trillion, nine hundred five billion, seven hundred sixty-four million, five hundred two thousand, one hundred twelve".