3357072 has 80 divisors (see below), whose sum is σ = 10168000. Its totient is φ = 1057536.

The previous prime is 3357071. The next prime is 3357113. The reversal of 3357072 is 2707533.

It is a super-2 number, since 2×3357072² = 22539864826368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3357071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8004 + ... + 8412.

It is an arithmetic number, because the mean of its divisors is an integer number (127100).

Almost surely, 2^3357072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3357072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084000).

3357072 is an abundant number, since it is smaller than the sum of its proper divisors (6810928).

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

3357072 is a wasteful number, since it uses less digits than its factorization.

3357072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 3357072 is about 1832.2314264306. The cubic root of 3357072 is about 149.7339283181.

The spelling of 3357072 in words is "three million, three hundred fifty-seven thousand, seventy-two".