3435264 has 144 divisors (see below), whose sum is σ = 11773440. Its totient is φ = 967680.

The previous prime is 3435251. The next prime is 3435281. The reversal of 3435264 is 4625343.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48349 + ... + 48419.

It is an arithmetic number, because the mean of its divisors is an integer number (81760).

Almost surely, 2^3435264 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 3435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886720).

3435264 is an abundant number, since it is smaller than the sum of its proper divisors (8338176).

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

3435264 is an equidigital number, since it uses as much as digits as its factorization.

3435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 3435264 is about 1853.4465193256. The cubic root of 3435264 is about 150.8875381493.

The spelling of 3435264 in words is "three million, four hundred thirty-five thousand, two hundred sixty-four".