3705504 has 96 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 1084160.

The previous prime is 3705503. The next prime is 3705509. The reversal of 3705504 is 4055073.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3705503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127762 + ... + 127790.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

Almost surely, 2^3705504 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 3705504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

3705504 is an abundant number, since it is smaller than the sum of its proper divisors (7362336).

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

3705504 is a wasteful number, since it uses less digits than its factorization.

3705504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 3705504 is about 1924.9685711720. The cubic root of 3705504 is about 154.7446924319.

It can be divided in two parts, 3 and 705504, that added together give a palindrome (705507).

The spelling of 3705504 in words is "three million, seven hundred five thousand, five hundred four".