3968614656 has 72 divisors (see below), whose sum is σ = 11735912160. Its totient is φ = 1322869248.

The previous prime is 3968614619. The next prime is 3968614667. The reversal of 3968614656 is 6564168693.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280170 + ... + 293993.

It is an arithmetic number, because the mean of its divisors is an integer number (162998780).

Almost surely, 2^3968614656 is an apocalyptic number.

3968614656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3968614656 is an abundant number, since it is smaller than the sum of its proper divisors (7767297504).

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

3968614656 is an equidigital number, since it uses as much as digits as its factorization.

3968614656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574188 (or 574168 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3968614656 is about 62996.9416400511. The cubic root of 3968614656 is about 1583.2383850087.

The spelling of 3968614656 in words is "three billion, nine hundred sixty-eight million, six hundred fourteen thousand, six hundred fifty-six".