3471264 has 72 divisors (see below), whose sum is σ = 10466820. Its totient is φ = 1087488.

The previous prime is 3471263. The next prime is 3471283. The reversal of 3471264 is 4621743.

It can be written as a sum of positive squares in 2 ways, for example, as 3459600 + 11664 = 1860^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3471263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4542 + ... + 5250.

Almost surely, 2^3471264 is an apocalyptic number.

3471264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3471264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233410).

3471264 is an abundant number, since it is smaller than the sum of its proper divisors (6995556).

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

3471264 is a wasteful number, since it uses less digits than its factorization.

3471264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3471264 is about 1863.1328455051. The cubic root of 3471264 is about 151.4127851451.

The spelling of 3471264 in words is "three million, four hundred seventy-one thousand, two hundred sixty-four".