344266297152 has 112 divisors (see below), whose sum is σ = 964642256640. Its totient is φ = 107983798272.

The previous prime is 344266297139. The next prime is 344266297153. The reversal of 344266297152 is 251792662443.

It is a super-2 number, since 2×344266297152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 344266297095 and 344266297104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344266297153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28452768 + ... + 28464864.

Almost surely, 2^344266297152 is an apocalyptic number.

344266297152 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 344266297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482321128320).

344266297152 is an abundant number, since it is smaller than the sum of its proper divisors (620375959488).

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

344266297152 is a wasteful number, since it uses less digits than its factorization.

344266297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 20838 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 344266297152 in words is "three hundred forty-four billion, two hundred sixty-six million, two hundred ninety-seven thousand, one hundred fifty-two".