3634884 has 72 divisors (see below), whose sum is σ = 10247328. Its totient is φ = 1077120.

The previous prime is 3634877. The next prime is 3634901. The reversal of 3634884 is 4884363.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26464 + ... + 26600.

It is an arithmetic number, because the mean of its divisors is an integer number (142324).

Almost surely, 2^3634884 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 3634884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123664).

3634884 is an abundant number, since it is smaller than the sum of its proper divisors (6612444).

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

3634884 is a wasteful number, since it uses less digits than its factorization.

3634884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3634884 is about 1906.5371750900. The cubic root of 3634884 is about 153.7553319587.

The spelling of 3634884 in words is "three million, six hundred thirty-four thousand, eight hundred eighty-four".