3132806238720 has 480 divisors, whose sum is σ = 11686501569600. Its totient is φ = 773035425792.

The previous prime is 3132806238707. The next prime is 3132806238761. The reversal of 3132806238720 is 278326082313.

3132806238720 is a `hidden beast` number, since 3 + 13 + 2 + 8 + 0 + 623 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 18740466 + ... + 18906894.

It is an arithmetic number, because the mean of its divisors is an integer number (24346878270).

Almost surely, 2^{3132806238720} is an apocalyptic number.

3132806238720 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 3132806238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843250784800).

3132806238720 is an abundant number, since it is smaller than the sum of its proper divisors (8553695330880).

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

3132806238720 is a wasteful number, since it uses less digits than its factorization.

3132806238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166520 (or 166501 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3132806238720 in words is "three trillion, one hundred thirty-two billion, eight hundred six million, two hundred thirty-eight thousand, seven hundred twenty".