3407264 has 72 divisors (see below), whose sum is σ = 8144388. Its totient is φ = 1397760.

The previous prime is 3407221. The next prime is 3407267. The reversal of 3407264 is 4627043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3312400 + 94864 = 1820^2 + 308^2 .

It is not an unprimeable number, because it can be changed into a prime (3407267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64262 + ... + 64314.

Almost surely, 2^3407264 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 3407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072194).

3407264 is an abundant number, since it is smaller than the sum of its proper divisors (4737124).

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

3407264 is a wasteful number, since it uses less digits than its factorization.

3407264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 3407264 is about 1845.8775690711. The cubic root of 3407264 is about 150.4764700910.

The spelling of 3407264 in words is "three million, four hundred seven thousand, two hundred sixty-four".