3132100520640 has 672 divisors, whose sum is σ = 13446055074816. Its totient is φ = 651527331840.

The previous prime is 3132100520603. The next prime is 3132100520719. The reversal of 3132100520640 is 460250012313.

3132100520640 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 10 + 0 + 5 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18523519 + ... + 18691841.

It is an arithmetic number, because the mean of its divisors is an integer number (20009010528).

Almost surely, 2^{3132100520640} is an apocalyptic number.

3132100520640 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 3132100520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723027537408).

3132100520640 is an abundant number, since it is smaller than the sum of its proper divisors (10313954554176).

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

3132100520640 is a wasteful number, since it uses less digits than its factorization.

3132100520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168437 (or 168424 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3132100520640 its reverse (460250012313), we get a palindrome (3592350532953).

The spelling of 3132100520640 in words is "three trillion, one hundred thirty-two billion, one hundred million, five hundred twenty thousand, six hundred forty".