344713270272 has 352 divisors, whose sum is σ = 1087638896640. Its totient is φ = 94985256960.

The previous prime is 344713270267. The next prime is 344713270277. The reversal of 344713270272 is 272072317443.

It is an interprime number because it is at equal distance from previous prime (344713270267) and next prime (344713270277).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344713270277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244650304 + ... + 244651712.

Almost surely, 2^344713270272 is an apocalyptic number.

344713270272 is a gapful number since it is divisible by the number (32) 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 344713270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543819448320).

344713270272 is an abundant number, since it is smaller than the sum of its proper divisors (742925626368).

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

344713270272 is a wasteful number, since it uses less digits than its factorization.

344713270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 344713270272 in words is "three hundred forty-four billion, seven hundred thirteen million, two hundred seventy thousand, two hundred seventy-two".