3633072 has 20 divisors (see below), whose sum is σ = 9385560. Its totient is φ = 1211008.

The previous prime is 3633059. The next prime is 3633073. The reversal of 3633072 is 2703363.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3633073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37797 + ... + 37892.

It is an arithmetic number, because the mean of its divisors is an integer number (469278).

Almost surely, 2^3633072 is an apocalyptic number.

It is an amenable number.

3633072 is an abundant number, since it is smaller than the sum of its proper divisors (5752488).

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

3633072 is a wasteful number, since it uses less digits than its factorization.

3633072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75700 (or 75694 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 3633072 is about 1906.0619087532. The cubic root of 3633072 is about 153.7297785554.

It can be divided in two parts, 363 and 3072, that multiplied together give a square (1115136 = 1056²).

The spelling of 3633072 in words is "three million, six hundred thirty-three thousand, seventy-two".