3792518688 has 96 divisors (see below), whose sum is σ = 11395593216. Its totient is φ = 1081859328.

The previous prime is 3792518677. The next prime is 3792518701. The reversal of 3792518688 is 8868152973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454845 + ... + 463107.

It is an arithmetic number, because the mean of its divisors is an integer number (118704096).

Almost surely, 2^3792518688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792518688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697796608).

3792518688 is an abundant number, since it is smaller than the sum of its proper divisors (7603074528).

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

3792518688 is a wasteful number, since it uses less digits than its factorization.

3792518688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966 (or 8958 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 3792518688 is about 61583.4286801247. The cubic root of 3792518688 is about 1559.4659973714.

The spelling of 3792518688 in words is "three billion, seven hundred ninety-two million, five hundred eighteen thousand, six hundred eighty-eight".