363750564 has 48 divisors (see below), whose sum is σ = 913441536. Its totient is φ = 112243200.

The previous prime is 363750553. The next prime is 363750587. The reversal of 363750564 is 465057363.

363750564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172 + ... + 27059.

It is an arithmetic number, because the mean of its divisors is an integer number (19030032).

Almost surely, 2^363750564 is an apocalyptic number.

363750564 is a gapful number since it is divisible by the number (34) 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 363750564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456720768).

363750564 is an abundant number, since it is smaller than the sum of its proper divisors (549690972).

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

363750564 is a wasteful number, since it uses less digits than its factorization.

363750564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29316 (or 29314 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 363750564 is about 19072.2459086496. The cubic root of 363750564 is about 713.8405673099.

The spelling of 363750564 in words is "three hundred sixty-three million, seven hundred fifty thousand, five hundred sixty-four".