3397115904 has 448 divisors, whose sum is σ = 11743334400. Its totient is φ = 867041280.

The previous prime is 3397115903. The next prime is 3397115921. The reversal of 3397115904 is 4095117933.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397115903) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109584369 + ... + 109584399.

It is an arithmetic number, because the mean of its divisors is an integer number (26212800).

Almost surely, 2^3397115904 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 3397115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871667200).

3397115904 is an abundant number, since it is smaller than the sum of its proper divisors (8346218496).

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

3397115904 is an equidigital number, since it uses as much as digits as its factorization.

3397115904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 3397115904 is about 58284.7827824725. The cubic root of 3397115904 is about 1503.2692994993.

The spelling of 3397115904 in words is "three billion, three hundred ninety-seven million, one hundred fifteen thousand, nine hundred four".