3942295176960 has 2304 divisors, whose sum is σ = 17657020416000. Its totient is φ = 812665405440.

The previous prime is 3942295176949. The next prime is 3942295176961. The reversal of 3942295176960 is 696715922493.

3942295176960 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 29 + 517 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942295176961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10401834051 + ... + 10401834429.

Almost surely, 2^{3942295176960} is an apocalyptic number.

3942295176960 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 3942295176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828510208000).

3942295176960 is an abundant number, since it is smaller than the sum of its proper divisors (13714725239040).

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

3942295176960 is a wasteful number, since it uses less digits than its factorization.

3942295176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 3942295176960 in words is "three trillion, nine hundred forty-two billion, two hundred ninety-five million, one hundred seventy-six thousand, nine hundred sixty".