3792814080 has 480 divisors, whose sum is σ = 14042101248. Its totient is φ = 865075200.

The previous prime is 3792814043. The next prime is 3792814099. The reversal of 3792814080 is 804182973.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62177250 + ... + 62177310.

Almost surely, 2^3792814080 is an apocalyptic number.

3792814080 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 3792814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021050624).

3792814080 is an abundant number, since it is smaller than the sum of its proper divisors (10249287168).

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

3792814080 is a wasteful number, since it uses less digits than its factorization.

3792814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3792814080 is about 61585.8269409448. The cubic root of 3792814080 is about 1559.5064842579.

The spelling of 3792814080 in words is "three billion, seven hundred ninety-two million, eight hundred fourteen thousand, eighty".