3297734608896 has 1152 divisors, whose sum is σ = 12319382275200. Its totient is φ = 863944704000.

The previous prime is 3297734608891. The next prime is 3297734608897. The reversal of 3297734608896 is 6988064377923.

3297734608896 is a `hidden beast` number, since 3 + 2 + 9 + 7 + 7 + 3 + 4 + 608 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3297734608891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8841111366 + ... + 8841111738.

It is an arithmetic number, because the mean of its divisors is an integer number (10693908225).

Almost surely, 2^{3297734608896} is an apocalyptic number.

3297734608896 is a gapful number since it is divisible by the number (36) 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 3297734608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159691137600).

3297734608896 is an abundant number, since it is smaller than the sum of its proper divisors (9021647666304).

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

3297734608896 is a wasteful number, since it uses less digits than its factorization.

3297734608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 3297734608896 in words is "three trillion, two hundred ninety-seven billion, seven hundred thirty-four million, six hundred eight thousand, eight hundred ninety-six".