344001000 has 128 divisors (see below), whose sum is σ = 1226684160. Its totient is φ = 78624000.

The previous prime is 344000977. The next prime is 344001071. The reversal of 344001000 is 100443.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12810 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (9583470).

Almost surely, 2^344001000 is an apocalyptic number.

344001000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613342080).

344001000 is an abundant number, since it is smaller than the sum of its proper divisors (882683160).

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

344001000 is a wasteful number, since it uses less digits than its factorization.

344001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16412 (or 16398 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 344001000 is about 18547.2639491651. The cubic root of 344001000 is about 700.6802910298.

Adding to 344001000 its reverse (100443), we get a palindrome (344101443).

The spelling of 344001000 in words is "three hundred forty-four million, one thousand".