3632004 has 36 divisors (see below), whose sum is σ = 9241596. Its totient is φ = 1202688.

The previous prime is 3631973. The next prime is 3632009. The reversal of 3632004 is 4002363.

It can be written as a sum of positive squares in 2 ways, for example, as 562500 + 3069504 = 750^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3632009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8172 + ... + 8604.

It is an arithmetic number, because the mean of its divisors is an integer number (256711).

Almost surely, 2^3632004 is an apocalyptic number.

It is an amenable number.

3632004 is an abundant number, since it is smaller than the sum of its proper divisors (5609592).

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

3632004 is a wasteful number, since it uses less digits than its factorization.

3632004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3632004 is about 1905.7817293699. The cubic root of 3632004 is about 153.7147132981.

Adding to 3632004 its reverse (4002363), we get a palindrome (7634367).

The spelling of 3632004 in words is "three million, six hundred thirty-two thousand, four".