3900964396032 has 528 divisors, whose sum is σ = 12765595594752. Its totient is φ = 1180021063680.

The previous prime is 3900964395989. The next prime is 3900964396033. The reversal of 3900964396032 is 2306934690093.

It is a happy number.

3900964396032 is a `hidden beast` number, since 3 + 90 + 0 + 96 + 439 + 6 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×3900964396032³ (a number of 39 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3900964396032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900964396033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2345738433 + ... + 2345740095.

It is an arithmetic number, because the mean of its divisors is an integer number (24177264384).

Almost surely, 2^{3900964396032} is an apocalyptic number.

3900964396032 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 3900964396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382797797376).

3900964396032 is an abundant number, since it is smaller than the sum of its proper divisors (8864631198720).

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

3900964396032 is a wasteful number, since it uses less digits than its factorization.

3900964396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 3900964396032 in words is "three trillion, nine hundred billion, nine hundred sixty-four million, three hundred ninety-six thousand, thirty-two".