3930748436556 has 192 divisors, whose sum is σ = 11077385195520. Its totient is φ = 1215804038400.

The previous prime is 3930748436533. The next prime is 3930748436633. The reversal of 3930748436556 is 6556348470393.

3930748436556 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 7 + 48 + 4 + 36 + 556 = 666.

It is a super-2 number, since 2×3930748436556² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3930748436493 and 3930748436502.

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 63 ways as a sum of consecutive naturals, for example, 10372701 + ... + 10744971.

It is an arithmetic number, because the mean of its divisors is an integer number (57694714560).

Almost surely, 2^{3930748436556} is an apocalyptic number.

3930748436556 is a gapful number since it is divisible by the number (36) 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 3930748436556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538692597760).

3930748436556 is an abundant number, since it is smaller than the sum of its proper divisors (7146636758964).

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

3930748436556 is a wasteful number, since it uses less digits than its factorization.

3930748436556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372384 (or 372364 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 3930748436556 in words is "three trillion, nine hundred thirty billion, seven hundred forty-eight million, four hundred thirty-six thousand, five hundred fifty-six".