376000560 has 360 divisors, whose sum is σ = 1454958960. Its totient is φ = 86482944.

The previous prime is 376000553. The next prime is 376000591. The reversal of 376000560 is 65000673.

376000560 is a `hidden beast` number, since 3 + 7 + 600 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×376000560² = 282752842240627200, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2704971 + ... + 2705109.

Almost surely, 2^376000560 is an apocalyptic number.

376000560 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 376000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727479480).

376000560 is an abundant number, since it is smaller than the sum of its proper divisors (1078958400).

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

376000560 is a wasteful number, since it uses less digits than its factorization.

376000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 376000560 is about 19390.7338695574. The cubic root of 376000560 is about 721.7655743507.

The spelling of 376000560 in words is "three hundred seventy-six million, five hundred sixty", and thus it is an aban number.