386793792 has 672 divisors, whose sum is σ = 1597639680. Its totient is φ = 89579520.

The previous prime is 386793791. The next prime is 386793817. The reversal of 386793792 is 297397683.

386793792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (3429216) is a multiple of the sum of its prime factors (81).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386793791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20357559 + ... + 20357577.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^386793792 is an apocalyptic number.

386793792 is a gapful number since it is divisible by the number (32) 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 386793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

386793792 is an abundant number, since it is smaller than the sum of its proper divisors (1210845888).

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

386793792 is a wasteful number, since it uses less digits than its factorization.

386793792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 386793792 is about 19667.0738036954. The cubic root of 386793792 is about 728.6067075354.

The spelling of 386793792 in words is "three hundred eighty-six million, seven hundred ninety-three thousand, seven hundred ninety-two".