344330434040000 has 70 divisors (see below), whose sum is σ = 853827569127324. Its totient is φ = 137732173600000.

The previous prime is 344330434039987. The next prime is 344330434040009. The reversal of 344330434040000 is 40434033443.

It is a super-3 number, since 3×344330434040000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (344330434040009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4304090426 + ... + 4304170425.

Almost surely, 2^{344330434040000} is an apocalyptic number.

It is an amenable number.

344330434040000 is an abundant number, since it is smaller than the sum of its proper divisors (509497135087324).

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

344330434040000 is an frugal number, since it uses more digits than its factorization.

344330434040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608260883 (or 8608260858 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 344330434040000 its reverse (40434033443), we get a palindrome (344370868073443).

The spelling of 344330434040000 in words is "three hundred forty-four trillion, three hundred thirty billion, four hundred thirty-four million, forty thousand".