344877884340 has 192 divisors, whose sum is σ = 1075691232000. Its totient is φ = 81857986560.

The previous prime is 344877884321. The next prime is 344877884357. The reversal of 344877884340 is 43488778443.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6574536 + ... + 6626784.

It is an arithmetic number, because the mean of its divisors is an integer number (5602558500).

Almost surely, 2^344877884340 is an apocalyptic number.

344877884340 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 344877884340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537845616000).

344877884340 is an abundant number, since it is smaller than the sum of its proper divisors (730813347660).

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

344877884340 is a wasteful number, since it uses less digits than its factorization.

344877884340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52482 (or 52480 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 60.

The spelling of 344877884340 in words is "three hundred forty-four billion, eight hundred seventy-seven million, eight hundred eighty-four thousand, three hundred forty".