375379920 has 200 divisors, whose sum is σ = 1329564456. Its totient is φ = 98122752.

The previous prime is 375379891. The next prime is 375379937. The reversal of 375379920 is 29973573.

375379920 is a `hidden beast` number, since 3 + 7 + 537 + 99 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181279296 + 194100624 = 13464^2 + 13932^2 .

It is a super-3 number, since 3×375379920³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342894 + ... + 343986.

Almost surely, 2^375379920 is an apocalyptic number.

375379920 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 375379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664782228).

375379920 is an abundant number, since it is smaller than the sum of its proper divisors (954184536).

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

375379920 is a wasteful number, since it uses less digits than its factorization.

375379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 375379920 is about 19374.7237399659. The cubic root of 375379920 is about 721.3682316062.

The spelling of 375379920 in words is "three hundred seventy-five million, three hundred seventy-nine thousand, nine hundred twenty".