3132961920 has 384 divisors, whose sum is σ = 11909177280. Its totient is φ = 752640000.

The previous prime is 3132961883. The next prime is 3132961963. The reversal of 3132961920 is 291692313.

It is a happy number.

3132961920 is a `hidden beast` number, since 3 + 1 + 32 + 9 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 12481795 + ... + 12482045.

Almost surely, 2^3132961920 is an apocalyptic number.

3132961920 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 3132961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954588640).

3132961920 is an abundant number, since it is smaller than the sum of its proper divisors (8776215360).

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

3132961920 is a wasteful number, since it uses less digits than its factorization.

3132961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3132961920 is about 55972.8677128482. The cubic root of 3132961920 is about 1463.2494585216.

The spelling of 3132961920 in words is "three billion, one hundred thirty-two million, nine hundred sixty-one thousand, nine hundred twenty".