344867940000 has 180 divisors, whose sum is σ = 1225506107826. Its totient is φ = 91964736000.

The previous prime is 344867939989. The next prime is 344867940037. The reversal of 344867940000 is 49768443.

It can be written as a sum of positive squares in 5 ways, for example, as 9946471824 + 334921468176 = 99732^2 + 578724^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 29 ways as a sum of consecutive naturals, for example, 777967 + ... + 1137966.

Almost surely, 2^344867940000 is an apocalyptic number.

344867940000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344867940000 is an abundant number, since it is smaller than the sum of its proper divisors (880638167826).

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

344867940000 is a wasteful number, since it uses less digits than its factorization.

344867940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915969 (or 1915943 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 344867940000 in words is "three hundred forty-four billion, eight hundred sixty-seven million, nine hundred forty thousand".