3345737120 has 144 divisors (see below), whose sum is σ = 8892465120. Its totient is φ = 1188042240.

The previous prime is 3345737117. The next prime is 3345737141. The reversal of 3345737120 is 217375433.

It is a super-2 number, since 2×3345737120² = 22387913752291788800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 830471 + ... + 834489.

It is an arithmetic number, because the mean of its divisors is an integer number (61753230).

Almost surely, 2^3345737120 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 3345737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446232560).

3345737120 is an abundant number, since it is smaller than the sum of its proper divisors (5546728000).

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

3345737120 is a wasteful number, since it uses less digits than its factorization.

3345737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The square root of 3345737120 is about 57842.3471169696. The cubic root of 3345737120 is about 1495.6521682676.

The spelling of 3345737120 in words is "three billion, three hundred forty-five million, seven hundred thirty-seven thousand, one hundred twenty".