3483264 has 64 divisors (see below), whose sum is σ = 9498240. Its totient is φ = 1130496.

The previous prime is 3483257. The next prime is 3483287. The reversal of 3483264 is 4623843.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17952 + ... + 18144.

It is an arithmetic number, because the mean of its divisors is an integer number (148410).

Almost surely, 2^3483264 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 3483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749120).

3483264 is an abundant number, since it is smaller than the sum of its proper divisors (6014976).

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

3483264 is a wasteful number, since it uses less digits than its factorization.

3483264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3483264 is about 1866.3504494065. The cubic root of 3483264 is about 151.5870601571.

The spelling of 3483264 in words is "three million, four hundred eighty-three thousand, two hundred sixty-four".