3349282608 has 560 divisors, whose sum is σ = 12490629120. Its totient is φ = 846526464.

The previous prime is 3349282571. The next prime is 3349282613. The reversal of 3349282608 is 8062829433.

3349282608 is a `hidden beast` number, since 3 + 34 + 9 + 2 + 8 + 2 + 608 = 666.

It is a super-2 number, since 2×3349282608² = 22435387976502563328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 26372241 + ... + 26372367.

Almost surely, 2^3349282608 is an apocalyptic number.

3349282608 is a gapful number since it is divisible by the number (38) 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 3349282608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245314560).

3349282608 is an abundant number, since it is smaller than the sum of its proper divisors (9141346512).

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

3349282608 is a wasteful number, since it uses less digits than its factorization.

3349282608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3349282608 is about 57872.9868591556. The cubic root of 3349282608 is about 1496.1802975049.

The spelling of 3349282608 in words is "three billion, three hundred forty-nine million, two hundred eighty-two thousand, six hundred eight".