344414928690 has 512 divisors, whose sum is σ = 1144715673600. Its totient is φ = 71909959680.

The previous prime is 344414928667. The next prime is 344414928701. The reversal of 344414928690 is 96829414443.

344414928690 is a `hidden beast` number, since 34 + 4 + 41 + 492 + 86 + 9 + 0 = 666.

It is a super-2 number, since 2×344414928690² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 508736632 + ... + 508737308.

It is an arithmetic number, because the mean of its divisors is an integer number (2235772800).

Almost surely, 2^344414928690 is an apocalyptic number.

344414928690 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 344414928690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572357836800).

344414928690 is an abundant number, since it is smaller than the sum of its proper divisors (800300744910).

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

344414928690 is a wasteful number, since it uses less digits than its factorization.

344414928690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 344414928690 in words is "three hundred forty-four billion, four hundred fourteen million, nine hundred twenty-eight thousand, six hundred ninety".