3396515904 has 84 divisors (see below), whose sum is σ = 9786262876. Its totient is φ = 1126268928.

The previous prime is 3396515897. The next prime is 3396515921. The reversal of 3396515904 is 4095156933.

3396515904 is a `hidden beast` number, since 3 + 3 + 9 + 6 + 51 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 729000000 + 2667515904 = 27000^2 + 51648^2 .

It is a super-2 number, since 2×3396515904² = 23072640572249874432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3396515904.

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 11 ways as a sum of consecutive naturals, for example, 95892 + ... + 126444.

Almost surely, 2^3396515904 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 3396515904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893131438).

3396515904 is an abundant number, since it is smaller than the sum of its proper divisors (6389746972).

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

3396515904 is a wasteful number, since it uses less digits than its factorization.

3396515904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30764 (or 30751 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 3396515904 is about 58279.6354140964. The cubic root of 3396515904 is about 1503.1807916089.

The spelling of 3396515904 in words is "three billion, three hundred ninety-six million, five hundred fifteen thousand, nine hundred four".