375972100 has 81 divisors (see below), whose sum is σ = 952499583. Its totient is φ = 128439360.

The previous prime is 375972073. The next prime is 375972109. The reversal of 375972100 is 1279573.

The square root of 375972100 is 19390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86155524 + 289816576 = 9282^2 + 17024^2 .

It is not an unprimeable number, because it can be changed into a prime (375972109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1357162 + ... + 1357438.

Almost surely, 2^375972100 is an apocalyptic number.

375972100 is the 19390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375972100

375972100 is an abundant number, since it is smaller than the sum of its proper divisors (576527483).

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

375972100 is a wasteful number, since it uses less digits than its factorization.

375972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The cubic root of 375972100 is about 721.7473634146.

The spelling of 375972100 in words is "three hundred seventy-five million, nine hundred seventy-two thousand, one hundred".