3380832500 has 60 divisors (see below), whose sum is σ = 7828197300. Its totient is φ = 1272768000.

The previous prime is 3380832493. The next prime is 3380832527. The reversal of 3380832500 is 52380833.

It can be written as a sum of positive squares in 10 ways, for example, as 913127524 + 2467704976 = 30218^2 + 49676^2 .

It is a super-2 number, since 2×3380832500² = 22860056786112500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2726 + ... + 82274.

It is an arithmetic number, because the mean of its divisors is an integer number (130469955).

Almost surely, 2^3380832500 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 3380832500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914098650).

3380832500 is an abundant number, since it is smaller than the sum of its proper divisors (4447364800).

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

3380832500 is a wasteful number, since it uses less digits than its factorization.

3380832500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79590 (or 79573 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3380832500 is about 58144.9266918447. The cubic root of 3380832500 is about 1500.8635768021.

The spelling of 3380832500 in words is "three billion, three hundred eighty million, eight hundred thirty-two thousand, five hundred".