3634872 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 1113600.

The previous prime is 3634861. The next prime is 3634877. The reversal of 3634872 is 2784363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634877) 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, 23997 + ... + 24147.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 2^3634872 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 3634872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

3634872 is an abundant number, since it is smaller than the sum of its proper divisors (6214728).

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

3634872 is a wasteful number, since it uses less digits than its factorization.

3634872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3634872 is about 1906.5340280205. The cubic root of 3634872 is about 153.7551627588.

The spelling of 3634872 in words is "three million, six hundred thirty-four thousand, eight hundred seventy-two".