3402757120 has 264 divisors, whose sum is σ = 9882981504. Its totient is φ = 1101053952.

The previous prime is 3402757109. The next prime is 3402757153. The reversal of 3402757120 is 217572043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12938109 + ... + 12938371.

It is an arithmetic number, because the mean of its divisors is an integer number (37435536).

Almost surely, 2^3402757120 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 3402757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941490752).

3402757120 is an abundant number, since it is smaller than the sum of its proper divisors (6480224384).

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

3402757120 is a wasteful number, since it uses less digits than its factorization.

3402757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 3402757120 is about 58333.1562663979. The cubic root of 3402757120 is about 1504.1009438812.

The spelling of 3402757120 in words is "three billion, four hundred two million, seven hundred fifty-seven thousand, one hundred twenty".