3197988864000 has 2304 divisors, whose sum is σ = 14487706059840. Its totient is φ = 687970713600.

The previous prime is 3197988863969. The next prime is 3197988864013. The reversal of 3197988864000 is 4688897913.

3197988864000 is a `hidden beast` number, since 3 + 1 + 9 + 79 + 88 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188116991992 + ... + 188116992008.

Almost surely, 2^{3197988864000} is an apocalyptic number.

3197988864000 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 3197988864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243853029920).

3197988864000 is an abundant number, since it is smaller than the sum of its proper divisors (11289717195840).

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

3197988864000 is an frugal number, since it uses more digits than its factorization.

3197988864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 3197988864000 in words is "three trillion, one hundred ninety-seven billion, nine hundred eighty-eight million, eight hundred sixty-four thousand".