3315072 has 64 divisors (see below), whose sum is σ = 8996400. Its totient is φ = 1081344.

The previous prime is 3315071. The next prime is 3315073. The reversal of 3315072 is 2705133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3315071) and next prime (3315073).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3315071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34128 + ... + 34224.

Almost surely, 2^3315072 is an apocalyptic number.

3315072 is a gapful number since it is divisible by the number (32) 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 3315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498200).

3315072 is an abundant number, since it is smaller than the sum of its proper divisors (5681328).

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

3315072 is an equidigital number, since it uses as much as digits as its factorization.

3315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 3315072 is about 1820.7339179573. The cubic root of 3315072 is about 149.1068704632.

The spelling of 3315072 in words is "three million, three hundred fifteen thousand, seventy-two".