3976391669634 has 256 divisors, whose sum is σ = 9623142144000. Its totient is φ = 1212951490560.

The previous prime is 3976391669611. The next prime is 3976391669669. The reversal of 3976391669634 is 4369661936793.

3976391669634 is a `hidden beast` number, since 3 + 97 + 6 + 391 + 66 + 96 + 3 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2105023762 + ... + 2105025650.

It is an arithmetic number, because the mean of its divisors is an integer number (37590399000).

Almost surely, 2^{3976391669634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3976391669634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811571072000).

3976391669634 is an abundant number, since it is smaller than the sum of its proper divisors (5646750474366).

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

3976391669634 is a wasteful number, since it uses less digits than its factorization.

3976391669634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2424 counting only the distinct ones).

The product of its digits is 714256704, while the sum is 72.

The spelling of 3976391669634 in words is "three trillion, nine hundred seventy-six billion, three hundred ninety-one million, six hundred sixty-nine thousand, six hundred thirty-four".