375966360 has 480 divisors, whose sum is σ = 1599000480. Its totient is φ = 77552640.

The previous prime is 375966347. The next prime is 375966379. The reversal of 375966360 is 63669573.

375966360 is a `hidden beast` number, since 3 + 7 + 5 + 9 + 6 + 636 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2744212 + ... + 2744348.

It is an arithmetic number, because the mean of its divisors is an integer number (3331251).

Almost surely, 2^375966360 is an apocalyptic number.

375966360 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 375966360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799500240).

375966360 is an abundant number, since it is smaller than the sum of its proper divisors (1223034120).

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

375966360 is a wasteful number, since it uses less digits than its factorization.

375966360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 375966360 is about 19389.8519849946. The cubic root of 375966360 is about 721.7436904018.

It can be divided in two parts, 37596 and 6360, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 375966360 in words is "three hundred seventy-five million, nine hundred sixty-six thousand, three hundred sixty".