3195797392800 has 864 divisors, whose sum is σ = 11999220000768. Its totient is φ = 829552389120.

The previous prime is 3195797392717. The next prime is 3195797392867. The reversal of 3195797392800 is 82937975913.

3195797392800 is a `hidden beast` number, since 3 + 1 + 9 + 579 + 7 + 39 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3703125169 + ... + 3703126031.

It is an arithmetic number, because the mean of its divisors is an integer number (13887986112).

Almost surely, 2^{3195797392800} is an apocalyptic number.

3195797392800 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 3195797392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999610000384).

3195797392800 is an abundant number, since it is smaller than the sum of its proper divisors (8803422607968).

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

3195797392800 is a wasteful number, since it uses less digits than its factorization.

3195797392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 3195797392800 in words is "three trillion, one hundred ninety-five billion, seven hundred ninety-seven million, three hundred ninety-two thousand, eight hundred".