383360880 has 320 divisors, whose sum is σ = 1487904768. Its totient is φ = 79626240.

The previous prime is 383360843. The next prime is 383360903. The reversal of 383360880 is 88063383.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885144 + ... + 885576.

Almost surely, 2^383360880 is an apocalyptic number.

383360880 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 383360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743952384).

383360880 is an abundant number, since it is smaller than the sum of its proper divisors (1104543888).

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

383360880 is a wasteful number, since it uses less digits than its factorization.

383360880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 383360880 is about 19579.6036732105. The cubic root of 383360880 is about 726.4447638615. Note that the first 3 decimals are identical.

The spelling of 383360880 in words is "three hundred eighty-three million, three hundred sixty thousand, eight hundred eighty".