3633672 has 64 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1012032.

The previous prime is 3633661. The next prime is 3633673. The reversal of 3633672 is 2763363.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3633673) 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, 6973 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 2^3633672 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 3633672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3633672 is an abundant number, since it is smaller than the sum of its proper divisors (7010808).

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

3633672 is a wasteful number, since it uses less digits than its factorization.

3633672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its digits is 13608, while the sum is 30.

The square root of 3633672 is about 1906.2192948347. The cubic root of 3633672 is about 153.7382408880.

The spelling of 3633672 in words is "three million, six hundred thirty-three thousand, six hundred seventy-two".