3132952992000 has 1440 divisors, whose sum is σ = 12685554641760. Its totient is φ = 763217510400.

The previous prime is 3132952991957. The next prime is 3132952992011. The reversal of 3132952992000 is 2992592313.

3132952992000 is a `hidden beast` number, since 3 + 1 + 32 + 9 + 529 + 92 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3000433694976 + 132519297024 = 1732176^2 + 364032^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3672863574 + ... + 3672864426.

Almost surely, 2^{3132952992000} is an apocalyptic number.

3132952992000 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 3132952992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342777320880).

3132952992000 is an abundant number, since it is smaller than the sum of its proper divisors (9552601649760).

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

3132952992000 is a wasteful number, since it uses less digits than its factorization.

3132952992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 3132952992000 in words is "three trillion, one hundred thirty-two billion, nine hundred fifty-two million, nine hundred ninety-two thousand".