3132694609920 has 720 divisors, whose sum is σ = 11514711761280. Its totient is φ = 785645568000.

The previous prime is 3132694609871. The next prime is 3132694609927. The reversal of 3132694609920 is 299064962313.

3132694609920 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 6 + 9 + 4 + 609 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3132694609927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2115255580 + ... + 2115257060.

It is an arithmetic number, because the mean of its divisors is an integer number (15992655224).

Almost surely, 2^{3132694609920} is an apocalyptic number.

3132694609920 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 3132694609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757355880640).

3132694609920 is an abundant number, since it is smaller than the sum of its proper divisors (8382017151360).

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

3132694609920 is a wasteful number, since it uses less digits than its factorization.

3132694609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 3132694609920 in words is "three trillion, one hundred thirty-two billion, six hundred ninety-four million, six hundred nine thousand, nine hundred twenty".