3132993686400 has 480 divisors, whose sum is σ = 12064129743600. Its totient is φ = 799138897920.

The previous prime is 3132993686359. The next prime is 3132993686401. The reversal of 3132993686400 is 46863992313.

3132993686400 is a `hidden beast` number, since 3 + 132 + 99 + 368 + 64 + 0 + 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132993686401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5698836 + ... + 6224364.

Almost surely, 2^{3132993686400} is an apocalyptic number.

3132993686400 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 3132993686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032064871800).

3132993686400 is an abundant number, since it is smaller than the sum of its proper divisors (8931136057200).

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

3132993686400 is a wasteful number, since it uses less digits than its factorization.

3132993686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525588 (or 525562 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3132993686400 in words is "three trillion, one hundred thirty-two billion, nine hundred ninety-three million, six hundred eighty-six thousand, four hundred".