3213701568000 has 3200 divisors, whose sum is σ = 15260269280256. Its totient is φ = 652935168000.

The previous prime is 3213701567987. The next prime is 3213701568017. The reversal of 3213701568000 is 8651073123.

3213701568000 is a `hidden beast` number, since 3 + 21 + 3 + 70 + 1 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 33130943952 + ... + 33130944048.

Almost surely, 2^{3213701568000} is an apocalyptic number.

3213701568000 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 3213701568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630134640128).

3213701568000 is an abundant number, since it is smaller than the sum of its proper divisors (12046567712256).

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

3213701568000 is an equidigital number, since it uses as much as digits as its factorization.

3213701568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 3213701568000 in words is "three trillion, two hundred thirteen billion, seven hundred one million, five hundred sixty-eight thousand".