382503680 has 144 divisors (see below), whose sum is σ = 999957504. Its totient is φ = 139345920.

The previous prime is 382503679. The next prime is 382503691. The reversal of 382503680 is 86305283.

It is a self number, because there is not a number n which added to its sum of digits gives 382503680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113190 + ... + 2113370.

Almost surely, 2^382503680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499978752).

382503680 is an abundant number, since it is smaller than the sum of its proper divisors (617453824).

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

382503680 is a wasteful number, since it uses less digits than its factorization.

382503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 382503680 is about 19557.7012964203. The cubic root of 382503680 is about 725.9029130975.

The spelling of 382503680 in words is "three hundred eighty-two million, five hundred three thousand, six hundred eighty".