375600960 has 336 divisors, whose sum is σ = 1526633472. Its totient is φ = 82944000.

The previous prime is 375600947. The next prime is 375600961. The reversal of 375600960 is 69006573.

It is a happy number.

375600960 is a `hidden beast` number, since 3 + 7 + 560 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375600961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 624660 + ... + 625260.

It is an arithmetic number, because the mean of its divisors is an integer number (4543552).

Almost surely, 2^375600960 is an apocalyptic number.

375600960 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 375600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763316736).

375600960 is an abundant number, since it is smaller than the sum of its proper divisors (1151032512).

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

375600960 is a wasteful number, since it uses less digits than its factorization.

375600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 375600960 is about 19380.4272398727. The cubic root of 375600960 is about 721.5097948051.

The spelling of 375600960 in words is "three hundred seventy-five million, six hundred thousand, nine hundred sixty".