3960255928320 has 576 divisors, whose sum is σ = 13937922966240. Its totient is φ = 1039854993408.

The previous prime is 3960255928297. The next prime is 3960255928381. The reversal of 3960255928320 is 238295520693.

3960255928320 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 2 + 559 + 2 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×3960255928320³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

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, 1697493874 + ... + 1697496206.

Almost surely, 2^{3960255928320} is an apocalyptic number.

3960255928320 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 3960255928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968961483120).

3960255928320 is an abundant number, since it is smaller than the sum of its proper divisors (9977667037920).

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

3960255928320 is a wasteful number, since it uses less digits than its factorization.

3960255928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3960255928320 in words is "three trillion, nine hundred sixty billion, two hundred fifty-five million, nine hundred twenty-eight thousand, three hundred twenty".