383382720 has 280 divisors, whose sum is σ = 1559320224. Its totient is φ = 87588864.

The previous prime is 383382709. The next prime is 383382731. The reversal of 383382720 is 27283383.

383382720 is a `hidden beast` number, since 383 + 3 + 8 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (383382709) and next prime (383382731).

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×383382720³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180384 + ... + 182496.

Almost surely, 2^383382720 is an apocalyptic number.

383382720 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 383382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779660112).

383382720 is an abundant number, since it is smaller than the sum of its proper divisors (1175937504).

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

383382720 is a wasteful number, since it uses less digits than its factorization.

383382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 383382720 is about 19580.1613885075. The cubic root of 383382720 is about 726.4585587418.

The spelling of 383382720 in words is "three hundred eighty-three million, three hundred eighty-two thousand, seven hundred twenty".