3125880 has 96 divisors (see below), whose sum is σ = 10717200. Its totient is φ = 787968.

The previous prime is 3125873. The next prime is 3125893. The reversal of 3125880 is 885213.

It is a happy number.

It is a super-2 number, since 2×3125880² = 19542251548800, which contains 22 as substring.

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, 6612 + ... + 7068.

Almost surely, 2^3125880 is an apocalyptic number.

3125880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358600).

3125880 is an abundant number, since it is smaller than the sum of its proper divisors (7591320).

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

3125880 is a wasteful number, since it uses less digits than its factorization.

3125880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3125880 is about 1768.0158370331. The cubic root of 3125880 is about 146.2146090126.

It can be divided in two parts, 3125 and 880, that added together give a triangular number (4005 = T₈₉).

The spelling of 3125880 in words is "three million, one hundred twenty-five thousand, eight hundred eighty".