3626784 has 108 divisors (see below), whose sum is σ = 12044214. Its totient is φ = 1032192.

The previous prime is 3626773. The next prime is 3626803. The reversal of 3626784 is 4876263.

3626784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2039184 + 1587600 = 1428^2 + 1260^2 .

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

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13984 + ... + 14240.

Almost surely, 2^3626784 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 3626784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022107).

3626784 is an abundant number, since it is smaller than the sum of its proper divisors (8417430).

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

3626784 is a wasteful number, since it uses less digits than its factorization.

3626784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3626784 is about 1904.4117201908. The cubic root of 3626784 is about 153.6410372122.

The spelling of 3626784 in words is "three million, six hundred twenty-six thousand, seven hundred eighty-four".