3632640 has 160 divisors (see below), whose sum is σ = 12963456. Its totient is φ = 860160.

The previous prime is 3632633. The next prime is 3632653. The reversal of 3632640 is 462363.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3632640.

It is a congruent number.

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, 84459 + ... + 84501.

Almost surely, 2^3632640 is an apocalyptic number.

3632640 is a gapful number since it is divisible by the number (30) 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 3632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728).

3632640 is an abundant number, since it is smaller than the sum of its proper divisors (9330816).

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

3632640 is a wasteful number, since it uses less digits than its factorization.

3632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3632640 is about 1905.9485827272. The cubic root of 3632640 is about 153.7236850991.

It can be divided in two parts, 363 and 2640, that added together give a palindrome (3003).

The spelling of 3632640 in words is "three million, six hundred thirty-two thousand, six hundred forty".