3633680 has 40 divisors (see below), whose sum is σ = 8617752. Its totient is φ = 1424384.

The previous prime is 3633673. The next prime is 3633683. The reversal of 3633680 is 863363.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 2155024 = 1216^2 + 1468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×3633680³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3812 + ... + 4668.

Almost surely, 2^3633680 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 3633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308876).

3633680 is an abundant number, since it is smaller than the sum of its proper divisors (4984072).

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

3633680 is a wasteful number, since it uses less digits than its factorization.

3633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 3633680 is about 1906.2213932280. The cubic root of 3633680 is about 153.7383537128.

The spelling of 3633680 in words is "three million, six hundred thirty-three thousand, six hundred eighty".