3397257648 has 120 divisors (see below), whose sum is σ = 9679505472. Its totient is φ = 1112085504.

The previous prime is 3397257623. The next prime is 3397257659. The reversal of 3397257648 is 8467527933.

It is a junction number, because it is equal to n+sod(n) for n = 3397257594 and 3397257603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3079465 + ... + 3080567.

Almost surely, 2^3397257648 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 3397257648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839752736).

3397257648 is an abundant number, since it is smaller than the sum of its proper divisors (6282247824).

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

3397257648 is a wasteful number, since it uses less digits than its factorization.

3397257648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1474 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3397257648 is about 58285.9987303984. The cubic root of 3397257648 is about 1503.2902070815.

The spelling of 3397257648 in words is "three billion, three hundred ninety-seven million, two hundred fifty-seven thousand, six hundred forty-eight".