7649344 has 28 divisors (see below), whose sum is σ = 15508224. Its totient is φ = 3741824.

The previous prime is 7649311. The next prime is 7649347. The reversal of 7649344 is 4439467.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

Its product of digits (72576) is a multiple of the sum of its prime divisors (2592).

It is not an unprimeable number, because it can be changed into a prime (7649347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1737 + ... + 4279.

Almost surely, 2^7649344 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 7649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754112).

7649344 is an abundant number, since it is smaller than the sum of its proper divisors (7858880).

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

7649344 is a wasteful number, since it uses less digits than its factorization.

7649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2592 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 7649344 is about 2765.7447459952. The cubic root of 7649344 is about 197.0341013054.

The spelling of 7649344 in words is "seven million, six hundred forty-nine thousand, three hundred forty-four".