3397299360 has 576 divisors, whose sum is σ = 13783924224. Its totient is φ = 696729600.

The previous prime is 3397299343. The next prime is 3397299361. The reversal of 3397299360 is 639927933.

3397299360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397299361) 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, 12536025 + ... + 12536295.

It is an arithmetic number, because the mean of its divisors is an integer number (23930424).

Almost surely, 2^3397299360 is an apocalyptic number.

3397299360 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 3397299360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891962112).

3397299360 is an abundant number, since it is smaller than the sum of its proper divisors (10386624864).

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

3397299360 is a wasteful number, since it uses less digits than its factorization.

3397299360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 51.

The square root of 3397299360 is about 58286.3565510832. The cubic root of 3397299360 is about 1503.2963595915.

The spelling of 3397299360 in words is "three billion, three hundred ninety-seven million, two hundred ninety-nine thousand, three hundred sixty".