375010560 has 180 divisors, whose sum is σ = 1342227348. Its totient is φ = 99975168.

The previous prime is 375010541. The next prime is 375010679. The reversal of 375010560 is 65010573.

375010560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 329204736 = 6768^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×375010560² = 281265840223027200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 101872 + ... + 105488.

Almost surely, 2^375010560 is an apocalyptic number.

375010560 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 375010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671113674).

375010560 is an abundant number, since it is smaller than the sum of its proper divisors (967216788).

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

375010560 is an equidigital number, since it uses as much as digits as its factorization.

375010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 375010560 is about 19365.1893871452. The cubic root of 375010560 is about 721.1315540482.

The spelling of 375010560 in words is "three hundred seventy-five million, ten thousand, five hundred sixty".