3960758476800 has 1344 divisors, whose sum is σ = 15192309772800. Its totient is φ = 1023356436480.

The previous prime is 3960758476777. The next prime is 3960758476817. The reversal of 3960758476800 is 86748570693.

3960758476800 is a `hidden beast` number, since 3 + 96 + 0 + 75 + 8 + 476 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×3960758476800² (a number of 26 digits) contains 22 as substring.

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, 16572211081 + ... + 16572211319.

Almost surely, 2^{3960758476800} is an apocalyptic number.

3960758476800 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 3960758476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596154886400).

3960758476800 is an abundant number, since it is smaller than the sum of its proper divisors (11231551296000).

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

3960758476800 is an frugal number, since it uses more digits than its factorization.

3960758476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3960758476800 in words is "three trillion, nine hundred sixty billion, seven hundred fifty-eight million, four hundred seventy-six thousand, eight hundred".