3497209455168 has 1008 divisors, whose sum is σ = 12293728926336. Its totient is φ = 941460848640.

The previous prime is 3497209455143. The next prime is 3497209455217. The reversal of 3497209455168 is 8615549027943.

3497209455168 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 20 + 94 + 5 + 516 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4080757396 + ... + 4080758252.

It is a 1-persistent number, because it is pandigital, but 2⋅3497209455168 = 6994418910336 is not.

Almost surely, 2^{3497209455168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3497209455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146864463168).

3497209455168 is an abundant number, since it is smaller than the sum of its proper divisors (8796519471168).

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

3497209455168 is a wasteful number, since it uses less digits than its factorization.

3497209455168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3497209455168 in words is "three trillion, four hundred ninety-seven billion, two hundred nine million, four hundred fifty-five thousand, one hundred sixty-eight".