3792882764160 has 768 divisors, whose sum is σ = 16091538278400. Its totient is φ = 803833528320.

The previous prime is 3792882764137. The next prime is 3792882764171. The reversal of 3792882764160 is 614672882973.

3792882764160 is a `hidden beast` number, since 3 + 79 + 2 + 8 + 82 + 76 + 416 + 0 = 666.

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

It is a congruent number.

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, 35953090 + ... + 36058430.

It is an arithmetic number, because the mean of its divisors is an integer number (20952523800).

Almost surely, 2^{3792882764160} is an apocalyptic number.

3792882764160 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 3792882764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045769139200).

3792882764160 is an abundant number, since it is smaller than the sum of its proper divisors (12298655514240).

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

3792882764160 is a wasteful number, since it uses less digits than its factorization.

3792882764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105439 (or 105424 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3792882764160 in words is "three trillion, seven hundred ninety-two billion, eight hundred eighty-two million, seven hundred sixty-four thousand, one hundred sixty".