382713600 has 216 divisors, whose sum is σ = 1305805312. Its totient is φ = 98611200.

The previous prime is 382713593. The next prime is 382713623. The reversal of 382713600 is 6317283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594879 + ... + 595521.

Almost surely, 2^382713600 is an apocalyptic number.

382713600 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 382713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652902656).

382713600 is an abundant number, since it is smaller than the sum of its proper divisors (923091712).

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

382713600 is a wasteful number, since it uses less digits than its factorization.

382713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 382713600 is about 19563.0672441721. The cubic root of 382713600 is about 726.0356819048.

The spelling of 382713600 in words is "three hundred eighty-two million, seven hundred thirteen thousand, six hundred".