3705632 has 48 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 1559040.

The previous prime is 3705629. The next prime is 3705659. The reversal of 3705632 is 2365073.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15788 + ... + 16020.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^3705632 is an apocalyptic number.

3705632 is a gapful number since it is divisible by the number (32) 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 3705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

3705632 is an abundant number, since it is smaller than the sum of its proper divisors (4785760).

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

3705632 is a wasteful number, since it uses less digits than its factorization.

3705632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 3705632 is about 1925.0018181810. The cubic root of 3705632 is about 154.7464742042.

The spelling of 3705632 in words is "three million, seven hundred five thousand, six hundred thirty-two".