3032825120 has 96 divisors (see below), whose sum is σ = 7788892608. Its totient is φ = 1109265408.

The previous prime is 3032825099. The next prime is 3032825141. The reversal of 3032825120 is 215282303.

It is an interprime number because it is at equal distance from previous prime (3032825099) and next prime (3032825141).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3032825120.

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, 215747 + ... + 229373.

It is an arithmetic number, because the mean of its divisors is an integer number (81134298).

Almost surely, 2^3032825120 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 3032825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894446304).

3032825120 is an abundant number, since it is smaller than the sum of its proper divisors (4756067488).

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

3032825120 is a wasteful number, since it uses less digits than its factorization.

3032825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13762 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3032825120 is about 55071.0915090667. The cubic root of 3032825120 is about 1447.4907247226.

The spelling of 3032825120 in words is "three billion, thirty-two million, eight hundred twenty-five thousand, one hundred twenty".