3291120 has 120 divisors (see below), whose sum is σ = 12650976. Its totient is φ = 751104.

The previous prime is 3291109. The next prime is 3291137. The reversal of 3291120 is 211923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3291093 and 3291102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4714 + ... + 5366.

Almost surely, 2^3291120 is an apocalyptic number.

3291120 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 3291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325488).

3291120 is an abundant number, since it is smaller than the sum of its proper divisors (9359856).

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

3291120 is a wasteful number, since it uses less digits than its factorization.

3291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3291120 is about 1814.1444264446. The cubic root of 3291120 is about 148.7468939869.

The spelling of 3291120 in words is "three million, two hundred ninety-one thousand, one hundred twenty".