3931006464 has 400 divisors, whose sum is σ = 14640062976. Its totient is φ = 1020211200.

The previous prime is 3931006447. The next prime is 3931006477. The reversal of 3931006464 is 4646001393.

3931006464 is a `hidden beast` number, since 3 + 9 + 3 + 1 + 0 + 0 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3192729 + ... + 3193959.

Almost surely, 2^3931006464 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 3931006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320031488).

3931006464 is an abundant number, since it is smaller than the sum of its proper divisors (10709056512).

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

3931006464 is a wasteful number, since it uses less digits than its factorization.

3931006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3931006464 is about 62697.7389065985. The cubic root of 3931006464 is about 1578.2213687040.

The spelling of 3931006464 in words is "three billion, nine hundred thirty-one million, six thousand, four hundred sixty-four".