3355264 has 32 divisors (see below), whose sum is σ = 7295040. Its totient is φ = 1524480.

The previous prime is 3355259. The next prime is 3355291. The reversal of 3355264 is 4625533.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3355264² = 22515593019392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 3¹³ + 5³ + 5⁷ + 2¹¹ + 6⁸ + 4⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217 + ... + 2599.

It is an arithmetic number, because the mean of its divisors is an integer number (227970).

Almost surely, 2^3355264 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 3355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647520).

3355264 is an abundant number, since it is smaller than the sum of its proper divisors (3939776).

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

3355264 is a wasteful number, since it uses less digits than its factorization.

3355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2396 counting only the distinct ones).

The product of its digits is 10800, while the sum is 28.

The square root of 3355264 is about 1831.7379725277. The cubic root of 3355264 is about 149.7070430287.

The spelling of 3355264 in words is "three million, three hundred fifty-five thousand, two hundred sixty-four".