3870976241664 has 780 divisors, whose sum is σ = 13887415616448. Its totient is φ = 1070176665600.

The previous prime is 3870976241653. The next prime is 3870976241677. The reversal of 3870976241664 is 4661426790783.

It is a happy number.

3870976241664 is a `hidden beast` number, since 3 + 8 + 70 + 97 + 6 + 2 + 416 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 503963904 + ... + 503971584.

Almost surely, 2^{3870976241664} 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 3870976241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943707808224).

3870976241664 is an abundant number, since it is smaller than the sum of its proper divisors (10016439374784).

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

3870976241664 is an equidigital number, since it uses as much as digits as its factorization.

3870976241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3870976241664 in words is "three trillion, eight hundred seventy billion, nine hundred seventy-six million, two hundred forty-one thousand, six hundred sixty-four".