3636144 has 80 divisors (see below), whose sum is σ = 11011200. Its totient is φ = 1145664.

The previous prime is 3636119. The next prime is 3636169. The reversal of 3636144 is 4416363.

It is an interprime number because it is at equal distance from previous prime (3636119) and next prime (3636169).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 7987 + ... + 8429.

It is an arithmetic number, because the mean of its divisors is an integer number (137640).

Almost surely, 2^3636144 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 3636144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505600).

3636144 is an abundant number, since it is smaller than the sum of its proper divisors (7375056).

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

3636144 is a wasteful number, since it uses less digits than its factorization.

3636144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3636144 is about 1906.8675884812. The cubic root of 3636144 is about 153.7730958761.

The spelling of 3636144 in words is "three million, six hundred thirty-six thousand, one hundred forty-four".