3945970576800 has 2304 divisors, whose sum is σ = 17379327651840. Its totient is φ = 845365248000.

The previous prime is 3945970576787. The next prime is 3945970576831. The reversal of 3945970576800 is 86750795493.

3945970576800 is a `hidden beast` number, since 3 + 9 + 4 + 59 + 7 + 0 + 576 + 8 + 0 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 30121912735 + ... + 30121912865.

It is an arithmetic number, because the mean of its divisors is an integer number (7543110960).

Almost surely, 2^{3945970576800} is an apocalyptic number.

3945970576800 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 3945970576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689663825920).

3945970576800 is an abundant number, since it is smaller than the sum of its proper divisors (13433357075040).

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

3945970576800 is a wasteful number, since it uses less digits than its factorization.

3945970576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 3945970576800 in words is "three trillion, nine hundred forty-five billion, nine hundred seventy million, five hundred seventy-six thousand, eight hundred".