3735264 has 96 divisors (see below), whose sum is σ = 10965024. Its totient is φ = 1105920.

The previous prime is 3735253. The next prime is 3735271. The reversal of 3735264 is 4625373.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 3⁸ + 7² + 3¹⁰ + 5⁹ + 2¹⁵ + 6⁸ + 4⁶ .

Its product of digits (15120) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51132 + ... + 51204.

It is an arithmetic number, because the mean of its divisors is an integer number (114219).

Almost surely, 2^3735264 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 3735264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482512).

3735264 is an abundant number, since it is smaller than the sum of its proper divisors (7229760).

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

3735264 is a wasteful number, since it uses less digits than its factorization.

3735264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 3735264 is about 1932.6831090481. The cubic root of 3735264 is about 155.1578551382.

The spelling of 3735264 in words is "three million, seven hundred thirty-five thousand, two hundred sixty-four".