3575264 has 48 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 1392000.

The previous prime is 3575263. The next prime is 3575269. The reversal of 3575264 is 4625753.

3575264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3575264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3575263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1739 + ... + 3189.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^3575264 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 3575264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848).

3575264 is an abundant number, since it is smaller than the sum of its proper divisors (5206432).

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

3575264 is a wasteful number, since it uses less digits than its factorization.

3575264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its digits is 25200, while the sum is 32.

The square root of 3575264 is about 1890.8368517670. The cubic root of 3575264 is about 152.9100529312.

The spelling of 3575264 in words is "three million, five hundred seventy-five thousand, two hundred sixty-four".