3199768790400 has 1344 divisors, whose sum is σ = 14587086887520. Its totient is φ = 675071262720.

The previous prime is 3199768790377. The next prime is 3199768790417. The reversal of 3199768790400 is 40978679913.

3199768790400 is a `hidden beast` number, since 3 + 1 + 99 + 76 + 8 + 79 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 212277264 + ... + 212292336.

Almost surely, 2^{3199768790400} is an apocalyptic number.

3199768790400 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 3199768790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293543443760).

3199768790400 is an abundant number, since it is smaller than the sum of its proper divisors (11387318097120).

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

3199768790400 is a wasteful number, since it uses less digits than its factorization.

3199768790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15135 (or 15103 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 3199768790400 in words is "three trillion, one hundred ninety-nine billion, seven hundred sixty-eight million, seven hundred ninety thousand, four hundred".