3627744 has 96 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1098240.

The previous prime is 3627737. The next prime is 3627769. The reversal of 3627744 is 4477263.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

Its product of digits (28224) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68422 + ... + 68474.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

Almost surely, 2^3627744 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 3627744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

3627744 is an abundant number, since it is smaller than the sum of its proper divisors (6823200).

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

3627744 is a wasteful number, since it uses less digits than its factorization.

3627744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 3627744 is about 1904.6637498519. The cubic root of 3627744 is about 153.6545921398.

It can be divided in two parts, 3627 and 744, that added together give a triangular number (4371 = T₉₃).

The spelling of 3627744 in words is "three million, six hundred twenty-seven thousand, seven hundred forty-four".