3964086637056 has 480 divisors, whose sum is σ = 14273763504000. Its totient is φ = 1031143882752.

The previous prime is 3964086637039. The next prime is 3964086637099. The reversal of 3964086637056 is 6507366804693.

It is a happy number.

3964086637056 is a `hidden beast` number, since 3 + 96 + 408 + 66 + 37 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3964086636984 and 3964086637002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30546195 + ... + 30675693.

It is an arithmetic number, because the mean of its divisors is an integer number (29737007300).

Almost surely, 2^{3964086637056} is an apocalyptic number.

3964086637056 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 3964086637056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136881752000).

3964086637056 is an abundant number, since it is smaller than the sum of its proper divisors (10309676866944).

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

3964086637056 is a wasteful number, since it uses less digits than its factorization.

3964086637056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129616 (or 129597 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 3964086637056 in words is "three trillion, nine hundred sixty-four billion, eighty-six million, six hundred thirty-seven thousand, fifty-six".