3633980 has 48 divisors (see below), whose sum is σ = 8842176. Its totient is φ = 1228800.

The previous prime is 3633941. The next prime is 3633983. The reversal of 3633980 is 893363.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633983) 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, 14012 + ... + 14268.

It is an arithmetic number, because the mean of its divisors is an integer number (184212).

Almost surely, 2^3633980 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 3633980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421088).

3633980 is an abundant number, since it is smaller than the sum of its proper divisors (5208196).

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

3633980 is a wasteful number, since it uses less digits than its factorization.

3633980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 3633980 is about 1906.3000813093. The cubic root of 3633980 is about 153.7425845235.

The spelling of 3633980 in words is "three million, six hundred thirty-three thousand, nine hundred eighty".