3397688160 has 96 divisors (see below), whose sum is σ = 10714394880. Its totient is φ = 905061888.

The previous prime is 3397688149. The next prime is 3397688171. The reversal of 3397688160 is 618867933.

It is an interprime number because it is at equal distance from previous prime (3397688149) and next prime (3397688171).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506911 + ... + 513569.

It is an arithmetic number, because the mean of its divisors is an integer number (111608280).

Almost surely, 2^3397688160 is an apocalyptic number.

3397688160 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 3397688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357197440).

3397688160 is an abundant number, since it is smaller than the sum of its proper divisors (7316706720).

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

3397688160 is a wasteful number, since it uses less digits than its factorization.

3397688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 3397688160 is about 58289.6917130293. The cubic root of 3397688160 is about 1503.3537050755.

The spelling of 3397688160 in words is "three billion, three hundred ninety-seven million, six hundred eighty-eight thousand, one hundred sixty".