3964706968320 has 864 divisors, whose sum is σ = 17321141440512. Its totient is φ = 815822143488.

The previous prime is 3964706968309. The next prime is 3964706968349. The reversal of 3964706968320 is 238696074693.

3964706968320 is a `hidden beast` number, since 3 + 9 + 6 + 470 + 69 + 6 + 83 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31467369 + ... + 31593111.

It is an arithmetic number, because the mean of its divisors is an integer number (20047617408).

Almost surely, 2^{3964706968320} is an apocalyptic number.

3964706968320 is a gapful number since it is divisible by the number (30) 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 3964706968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660570720256).

3964706968320 is an abundant number, since it is smaller than the sum of its proper divisors (13356434472192).

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

3964706968320 is a wasteful number, since it uses less digits than its factorization.

3964706968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125817 (or 125800 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3964706968320 in words is "three trillion, nine hundred sixty-four billion, seven hundred six million, nine hundred sixty-eight thousand, three hundred twenty".