382734720 has 384 divisors, whose sum is σ = 1443536640. Its totient is φ = 96712704.

The previous prime is 382734707. The next prime is 382734731. The reversal of 382734720 is 27437283.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576907 + ... + 3577013.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2^382734720 is an apocalyptic number.

382734720 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 382734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

382734720 is an abundant number, since it is smaller than the sum of its proper divisors (1060801920).

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

382734720 is a wasteful number, since it uses less digits than its factorization.

382734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 382734720 is about 19563.6070293798. The cubic root of 382734720 is about 726.0490370539.

The spelling of 382734720 in words is "three hundred eighty-two million, seven hundred thirty-four thousand, seven hundred twenty".