3120900 has 72 divisors (see below), whose sum is σ = 9207744. Its totient is φ = 816000.

The previous prime is 3120899. The next prime is 3120907. The reversal of 3120900 is 90213.

3120900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3120900.

It is not an unprimeable number, because it can be changed into a prime (3120907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30249 + ... + 30351.

Almost surely, 2^3120900 is an apocalyptic number.

3120900 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 3120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603872).

3120900 is an abundant number, since it is smaller than the sum of its proper divisors (6086844).

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

3120900 is a wasteful number, since it uses less digits than its factorization.

3120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3120900 is about 1766.6069172286. The cubic root of 3120900 is about 146.1369204066.

The spelling of 3120900 in words is "three million, one hundred twenty thousand, nine hundred".