3337264 has 40 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1409088.

The previous prime is 3337261. The next prime is 3337283. The reversal of 3337264 is 4627333.

It is a super-2 number, since 2×3337264² = 22274662011392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 3 + 3⁸ + 3¹¹ + 7² + 2²¹ + 6⁵ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337261) 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, 9117 + ... + 9475.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^3337264 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 3337264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

3337264 is an abundant number, since it is smaller than the sum of its proper divisors (4162256).

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

3337264 is a wasteful number, since it uses less digits than its factorization.

3337264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its digits is 9072, while the sum is 28.

The square root of 3337264 is about 1826.8179985976. The cubic root of 3337264 is about 149.4388515151.

Subtracting from 3337264 its sum of digits (28), we obtain a triangular number (3337236 = T₂₅₈₃).

The spelling of 3337264 in words is "three million, three hundred thirty-seven thousand, two hundred sixty-four".