344007642 has 96 divisors (see below), whose sum is σ = 802690560. Its totient is φ = 97435360.

The previous prime is 344007641. The next prime is 344007647. The reversal of 344007642 is 246700443.

It is not an unprimeable number, because it can be changed into a prime (344007641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2059843 + ... + 2060009.

It is an arithmetic number, because the mean of its divisors is an integer number (8361360).

Almost surely, 2^344007642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344007642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401345280).

344007642 is an abundant number, since it is smaller than the sum of its proper divisors (458682918).

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

344007642 is a wasteful number, since it uses less digits than its factorization.

344007642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 344007642 is about 18547.4430043605. The cubic root of 344007642 is about 700.6848005986.

The spelling of 344007642 in words is "three hundred forty-four million, seven thousand, six hundred forty-two".