344129040 has 80 divisors (see below), whose sum is σ = 1185340800. Its totient is φ = 91767168.

The previous prime is 344129029. The next prime is 344129069. The reversal of 344129040 is 40921443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 344128995 and 344129013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77500 + ... + 81819.

It is an arithmetic number, because the mean of its divisors is an integer number (14816760).

Almost surely, 2^344129040 is an apocalyptic number.

344129040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344129040 is an abundant number, since it is smaller than the sum of its proper divisors (841211760).

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

344129040 is a wasteful number, since it uses less digits than its factorization.

344129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159341 (or 159329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 344129040 is about 18550.7153500883. The cubic root of 344129040 is about 700.7672132344.

The spelling of 344129040 in words is "three hundred forty-four million, one hundred twenty-nine thousand, forty".