375838400 has 168 divisors, whose sum is σ = 1103619840. Its totient is φ = 123171840.

The previous prime is 375838399. The next prime is 375838417. The reversal of 375838400 is 4838573.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256871 + ... + 258329.

Almost surely, 2^375838400 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 375838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551809920).

375838400 is an abundant number, since it is smaller than the sum of its proper divisors (727781440).

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

375838400 is a wasteful number, since it uses less digits than its factorization.

375838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 375838400 is about 19386.5520400096. The cubic root of 375838400 is about 721.6617993853.

The spelling of 375838400 in words is "three hundred seventy-five million, eight hundred thirty-eight thousand, four hundred".