375288000 has 224 divisors, whose sum is σ = 1306007040. Its totient is φ = 94694400.

The previous prime is 375287993. The next prime is 375288031. The reversal of 375288000 is 882573.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455589 + ... + 456411.

Almost surely, 2^375288000 is an apocalyptic number.

375288000 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 375288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653003520).

375288000 is an abundant number, since it is smaller than the sum of its proper divisors (930719040).

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

375288000 is a wasteful number, since it uses less digits than its factorization.

375288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 375288000 is about 19372.3514318732. The cubic root of 375288000 is about 721.3093458592.

The spelling of 375288000 in words is "three hundred seventy-five million, two hundred eighty-eight thousand".