3349656336 has 160 divisors (see below), whose sum is σ = 10296840960. Its totient is φ = 927793152.

The previous prime is 3349656329. The next prime is 3349656341. The reversal of 3349656336 is 6336569433.

3349656336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3349656336² = 22440395138609889792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237120 + ... + 250848.

It is an arithmetic number, because the mean of its divisors is an integer number (64355256).

Almost surely, 2^3349656336 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 3349656336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148420480).

3349656336 is an abundant number, since it is smaller than the sum of its proper divisors (6947184624).

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

3349656336 is a wasteful number, since it uses less digits than its factorization.

3349656336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13787 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 48.

The square root of 3349656336 is about 57876.2156330215. The cubic root of 3349656336 is about 1496.2359456081.

The spelling of 3349656336 in words is "three billion, three hundred forty-nine million, six hundred fifty-six thousand, three hundred thirty-six".