3649624 has 32 divisors (see below), whose sum is σ = 7588800. Its totient is φ = 1631520.

The previous prime is 3649609. The next prime is 3649637. The reversal of 3649624 is 4269463.

3649624 = T₂₉₆ + T₂₉₇ + ... + T₃₆₂.

3649624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3649624.

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 7 ways as a sum of consecutive naturals, for example, 5587 + ... + 6205.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^3649624 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 3649624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

3649624 is an abundant number, since it is smaller than the sum of its proper divisors (3939176).

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

3649624 is a wasteful number, since it uses less digits than its factorization.

3649624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 3649624 is about 1910.3989112225. The cubic root of 3649624 is about 153.9628853045.

The spelling of 3649624 in words is "three million, six hundred forty-nine thousand, six hundred twenty-four".