344430968490 has 192 divisors, whose sum is σ = 1085805527040. Its totient is φ = 73995949440.

The previous prime is 344430968461. The next prime is 344430968491. The reversal of 344430968490 is 94869034443.

344430968490 is a `hidden beast` number, since 3 + 44 + 430 + 9 + 6 + 84 + 90 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344430968491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1406905 + ... + 1633475.

It is an arithmetic number, because the mean of its divisors is an integer number (5655237120).

Almost surely, 2^344430968490 is an apocalyptic number.

344430968490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344430968490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542902763520).

344430968490 is an abundant number, since it is smaller than the sum of its proper divisors (741374558550).

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

344430968490 is a wasteful number, since it uses less digits than its factorization.

344430968490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226737 (or 226734 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 344430968490 in words is "three hundred forty-four billion, four hundred thirty million, nine hundred sixty-eight thousand, four hundred ninety".