3337728 has 80 divisors (see below), whose sum is σ = 9280656. Its totient is φ = 1064960.

The previous prime is 3337723. The next prime is 3337757. The reversal of 3337728 is 8277333.

It is a happy number.

It is a super-2 number, since 2×3337728² = 22280856403968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337721) 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, 62950 + ... + 63002.

Almost surely, 2^3337728 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 3337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640328).

3337728 is an abundant number, since it is smaller than the sum of its proper divisors (5942928).

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

3337728 is an equidigital number, since it uses as much as digits as its factorization.

3337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 3337728 is about 1826.9449909617. The cubic root of 3337728 is about 149.4457769900.

The spelling of 3337728 in words is "three million, three hundred thirty-seven thousand, seven hundred twenty-eight".