3349853760 has 224 divisors, whose sum is σ = 11686032000. Its totient is φ = 806256640.

The previous prime is 3349853681. The next prime is 3349853777. The reversal of 3349853760 is 673589433.

It is a super-2 number, since 2×3349853760² = 22443040426772275200, 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, 1572376 + ... + 1574504.

Almost surely, 2^3349853760 is an apocalyptic number.

3349853760 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 3349853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843016000).

3349853760 is an abundant number, since it is smaller than the sum of its proper divisors (8336178240).

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

3349853760 is a wasteful number, since it uses less digits than its factorization.

3349853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The square root of 3349853760 is about 57877.9211789781. The cubic root of 3349853760 is about 1496.2653403731.

The spelling of 3349853760 in words is "three billion, three hundred forty-nine million, eight hundred fifty-three thousand, seven hundred sixty".