3249120 has 96 divisors (see below), whose sum is σ = 11708928. Its totient is φ = 741888.

The previous prime is 3249109. The next prime is 3249137. The reversal of 3249120 is 219423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2877 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

Almost surely, 2^3249120 is an apocalyptic number.

3249120 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 3249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464).

3249120 is an abundant number, since it is smaller than the sum of its proper divisors (8459808).

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

3249120 is a wasteful number, since it uses less digits than its factorization.

3249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3249120 is about 1802.5315531219. The cubic root of 3249120 is about 148.1114330005. Note that the first 3 decimals are identical.

The spelling of 3249120 in words is "three million, two hundred forty-nine thousand, one hundred twenty".