3792676608 has 720 divisors, whose sum is σ = 14423935680. Its totient is φ = 966131712.

The previous prime is 3792676607. The next prime is 3792676631. The reversal of 3792676608 is 8066762973.

3792676608 is a `hidden beast` number, since 3 + 7 + 9 + 26 + 7 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792676607) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 71559910 + ... + 71559962.

It is an arithmetic number, because the mean of its divisors is an integer number (20033244).

Almost surely, 2^3792676608 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 3792676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211967840).

3792676608 is an abundant number, since it is smaller than the sum of its proper divisors (10631259072).

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

3792676608 is a wasteful number, since it uses less digits than its factorization.

3792676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3792676608 is about 61584.7108298805. The cubic root of 3792676608 is about 1559.4876423935.

The spelling of 3792676608 in words is "three billion, seven hundred ninety-two million, six hundred seventy-six thousand, six hundred eight".