383503680 has 448 divisors, whose sum is σ = 1641530880. Its totient is φ = 82280448.

The previous prime is 383503661. The next prime is 383503693. The reversal of 383503680 is 86305383.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027974 + ... + 1028346.

Almost surely, 2^383503680 is an apocalyptic number.

383503680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

383503680 is the 9792-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820765440).

383503680 is an abundant number, since it is smaller than the sum of its proper divisors (1258027200).

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

383503680 is a wasteful number, since it uses less digits than its factorization.

383503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 383503680 is about 19583.2499856382. The cubic root of 383503680 is about 726.5349516714.

The spelling of 383503680 in words is "three hundred eighty-three million, five hundred three thousand, six hundred eighty".