375864384 has 224 divisors, whose sum is σ = 1228953600. Its totient is φ = 98979840.

The previous prime is 375864361. The next prime is 375864409. The reversal of 375864384 is 483468573.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1046797 + ... + 1047155.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^375864384 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 375864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

375864384 is an abundant number, since it is smaller than the sum of its proper divisors (853089216).

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

375864384 is a wasteful number, since it uses less digits than its factorization.

375864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 375864384 is about 19387.2221836961. Note that the first 3 decimals coincide. The cubic root of 375864384 is about 721.6784299621.

The spelling of 375864384 in words is "three hundred seventy-five million, eight hundred sixty-four thousand, three hundred eighty-four".