3792117288960 has 4992 divisors, whose sum is σ = 19892665221120. Its totient is φ = 662490316800.

The previous prime is 3792117288959. The next prime is 3792117288961. The reversal of 3792117288960 is 698827112973.

3792117288960 is a `hidden beast` number, since 379 + 2 + 1 + 172 + 8 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3792117288959) and next prime (3792117288961).

It is a tau number, because it is divible by the number of its divisors (4992).

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 (3792117288961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122326364145 + ... + 122326364175.

Almost surely, 2^{3792117288960} is an apocalyptic number.

3792117288960 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 3792117288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946332610560).

3792117288960 is an abundant number, since it is smaller than the sum of its proper divisors (16100547932160).

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

3792117288960 is a wasteful number, since it uses less digits than its factorization.

3792117288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 3792117288960 in words is "three trillion, seven hundred ninety-two billion, one hundred seventeen million, two hundred eighty-eight thousand, nine hundred sixty".