2829344 has 48 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 1139712.

The previous prime is 2829341. The next prime is 2829349. The reversal of 2829344 is 4439282.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2829344.

It is not an unprimeable number, because it can be changed into a prime (2829341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3437 + ... + 4179.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

2^2829344 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 2829344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2829344 is an abundant number, since it is smaller than the sum of its proper divisors (3920224).

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

2829344 is a wasteful number, since it uses less digits than its factorization.

2829344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 2829344 is about 1682.0653970640. The cubic root of 2829344 is about 141.4366358406.

The spelling of 2829344 in words is "two million, eight hundred twenty-nine thousand, three hundred forty-four".