3349105320 has 256 divisors, whose sum is σ = 11504332800. Its totient is φ = 772623360.

The previous prime is 3349105303. The next prime is 3349105363. The reversal of 3349105320 is 235019433.

It is a super-2 number, since 2×3349105320² = 22433012888904604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2294751 + ... + 2296209.

It is an arithmetic number, because the mean of its divisors is an integer number (44938800).

Almost surely, 2^3349105320 is an apocalyptic number.

3349105320 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 3349105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752166400).

3349105320 is an abundant number, since it is smaller than the sum of its proper divisors (8155227480).

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

3349105320 is a wasteful number, since it uses less digits than its factorization.

3349105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3349105320 is about 57871.4551398183. The cubic root of 3349105320 is about 1496.1538978721.

The spelling of 3349105320 in words is "three billion, three hundred forty-nine million, one hundred five thousand, three hundred twenty".