344257125072 has 80 divisors (see below), whose sum is σ = 1016441943552. Its totient is φ = 98353008000.

The previous prime is 344257125071. The next prime is 344257125073. The reversal of 344257125072 is 270521752443.

It is an interprime number because it is at equal distance from previous prime (344257125071) and next prime (344257125073).

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 (344257125071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9810823 + ... + 9845849.

Almost surely, 2^344257125072 is an apocalyptic number.

It is an amenable number.

344257125072 is an abundant number, since it is smaller than the sum of its proper divisors (672184818480).

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

344257125072 is a wasteful number, since it uses less digits than its factorization.

344257125072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64296 (or 64290 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

It can be divided in two parts, 3442571 and 25072, that added together give a palindrome (3467643).

The spelling of 344257125072 in words is "three hundred forty-four billion, two hundred fifty-seven million, one hundred twenty-five thousand, seventy-two".