3956103524736 has 640 divisors, whose sum is σ = 13221090051840. Its totient is φ = 1163921633280.

The previous prime is 3956103524719. The next prime is 3956103524773. The reversal of 3956103524736 is 6374253016593.

3956103524736 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 103 + 524 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 848400741 + ... + 848405403.

It is an arithmetic number, because the mean of its divisors is an integer number (20657953206).

Almost surely, 2^{3956103524736} is an apocalyptic number.

3956103524736 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 3956103524736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610545025920).

3956103524736 is an abundant number, since it is smaller than the sum of its proper divisors (9264986527104).

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

3956103524736 is a wasteful number, since it uses less digits than its factorization.

3956103524736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 3956103524736 in words is "three trillion, nine hundred fifty-six billion, one hundred three million, five hundred twenty-four thousand, seven hundred thirty-six".