3132898560 has 720 divisors, whose sum is σ = 12714432192. Its totient is φ = 729907200.

The previous prime is 3132898541. The next prime is 3132898697. The reversal of 3132898560 is 658982313.

It is a happy number.

3132898560 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 89 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46759647 + ... + 46759713.

Almost surely, 2^3132898560 is an apocalyptic number.

3132898560 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 3132898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357216096).

3132898560 is an abundant number, since it is smaller than the sum of its proper divisors (9581533632).

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

3132898560 is a wasteful number, since it uses less digits than its factorization.

3132898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3132898560 is about 55972.3017214765. The cubic root of 3132898560 is about 1463.2395943618.

The spelling of 3132898560 in words is "three billion, one hundred thirty-two million, eight hundred ninety-eight thousand, five hundred sixty".