3691312560 has 400 divisors, whose sum is σ = 14292210240. Its totient is φ = 876718080.

The previous prime is 3691312543. The next prime is 3691312621. The reversal of 3691312560 is 652131963.

3691312560 is a `hidden beast` number, since 3 + 6 + 91 + 3 + 1 + 2 + 560 = 666.

It is a super-2 number, since 2×3691312560² = 27251576831227507200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2442205 + ... + 2443715.

Almost surely, 2^3691312560 is an apocalyptic number.

3691312560 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 3691312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146105120).

3691312560 is an abundant number, since it is smaller than the sum of its proper divisors (10600897680).

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

3691312560 is a wasteful number, since it uses less digits than its factorization.

3691312560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3691312560 is about 60756.1730197023. The cubic root of 3691312560 is about 1545.4689122456.

The spelling of 3691312560 in words is "three billion, six hundred ninety-one million, three hundred twelve thousand, five hundred sixty".