375541920 has 288 divisors, whose sum is σ = 1433158272. Its totient is φ = 92316672.

The previous prime is 375541913. The next prime is 375541931. The reversal of 375541920 is 29145573.

375541920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505069 + ... + 505811.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^375541920 is an apocalyptic number.

375541920 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 375541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

375541920 is an abundant number, since it is smaller than the sum of its proper divisors (1057616352).

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

375541920 is a wasteful number, since it uses less digits than its factorization.

375541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 375541920 is about 19378.9039937763. The cubic root of 375541920 is about 721.4719885737.

The spelling of 375541920 in words is "three hundred seventy-five million, five hundred forty-one thousand, nine hundred twenty".