3415025120 has 96 divisors (see below), whose sum is σ = 8706525408. Its totient is φ = 1258334208.

The previous prime is 3415025113. The next prime is 3415025153. The reversal of 3415025120 is 215205143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219562 + ... + 1222358.

It is an arithmetic number, because the mean of its divisors is an integer number (90692973).

Almost surely, 2^3415025120 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 3415025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353262704).

3415025120 is an abundant number, since it is smaller than the sum of its proper divisors (5291500288).

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

3415025120 is a wasteful number, since it uses less digits than its factorization.

3415025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 3415025120 is about 58438.2162629901. The cubic root of 3415025120 is about 1505.9063601555.

The spelling of 3415025120 in words is "three billion, four hundred fifteen million, twenty-five thousand, one hundred twenty".