3950925064320 has 512 divisors, whose sum is σ = 13894779064320. Its totient is φ = 948750630912.

The previous prime is 3950925064253. The next prime is 3950925064349. The reversal of 3950925064320 is 234605290593.

It is a super-2 number, since 2×3950925064320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3950925064320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140894909 + ... + 1140898371.

It is an arithmetic number, because the mean of its divisors is an integer number (27138240360).

Almost surely, 2^{3950925064320} is an apocalyptic number.

3950925064320 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 3950925064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947389532160).

3950925064320 is an abundant number, since it is smaller than the sum of its proper divisors (9943854000000).

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

3950925064320 is a wasteful number, since it uses less digits than its factorization.

3950925064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 3950925064320 in words is "three trillion, nine hundred fifty billion, nine hundred twenty-five million, sixty-four thousand, three hundred twenty".