3297854172096 has 672 divisors, whose sum is σ = 11200812150528. Its totient is φ = 916369735680.

The previous prime is 3297854172083. The next prime is 3297854172157. The reversal of 3297854172096 is 6902714587923.

3297854172096 is a `hidden beast` number, since 3 + 2 + 9 + 7 + 8 + 5 + 417 + 209 + 6 = 666.

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, 2718757986 + ... + 2718759198.

It is an arithmetic number, because the mean of its divisors is an integer number (16667875224).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3297854172096 = 6595708344192, but 3⋅3297854172096 = 9893562516288 is not.

Almost surely, 2^{3297854172096} is an apocalyptic number.

3297854172096 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 3297854172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600406075264).

3297854172096 is an abundant number, since it is smaller than the sum of its proper divisors (7902957978432).

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

3297854172096 is a wasteful number, since it uses less digits than its factorization.

3297854172096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3297854172096 in words is "three trillion, two hundred ninety-seven billion, eight hundred fifty-four million, one hundred seventy-two thousand, ninety-six".