3792813696 has 384 divisors, whose sum is σ = 13423363200. Its totient is φ = 1003290624.

The previous prime is 3792813683. The next prime is 3792813701. The reversal of 3792813696 is 6963182973.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10007235 + ... + 10007613.

It is an arithmetic number, because the mean of its divisors is an integer number (34956675).

Almost surely, 2^3792813696 is an apocalyptic number.

3792813696 is a gapful number since it is divisible by the number (36) 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 3792813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711681600).

3792813696 is an abundant number, since it is smaller than the sum of its proper divisors (9630549504).

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

3792813696 is a wasteful number, since it uses less digits than its factorization.

3792813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 3792813696 is about 61585.8238233443. The cubic root of 3792813696 is about 1559.5064316276.

The spelling of 3792813696 in words is "three billion, seven hundred ninety-two million, eight hundred thirteen thousand, six hundred ninety-six".