3297401856000 has 1344 divisors, whose sum is σ = 13778957537280. Its totient is φ = 743001292800.

The previous prime is 3297401855989. The next prime is 3297401856019. The reversal of 3297401856000 is 6581047923.

3297401856000 is a `hidden beast` number, since 3 + 2 + 9 + 74 + 0 + 18 + 560 + 0 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5096447677 + ... + 5096448323.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3297401856000 = 6594803712000, but 3⋅3297401856000 = 9892205568000 is not.

Almost surely, 2^{3297401856000} is an apocalyptic number.

3297401856000 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 3297401856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889478768640).

3297401856000 is an abundant number, since it is smaller than the sum of its proper divisors (10481555681280).

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

3297401856000 is an equidigital number, since it uses as much as digits as its factorization.

3297401856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3297401856000 in words is "three trillion, two hundred ninety-seven billion, four hundred one million, eight hundred fifty-six thousand".