344434324004040 has 64 divisors (see below), whose sum is σ = 1078229188195200. Its totient is φ = 87855711629312.

The previous prime is 344434324004033. The next prime is 344434324004051. The reversal of 344434324004040 is 40400423434443.

It is a self number, because there is not a number n which added to its sum of digits gives 344434324004040.

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, 62397519705 + ... + 62397525224.

It is an arithmetic number, because the mean of its divisors is an integer number (16847331065550).

Almost surely, 2^{344434324004040} is an apocalyptic number.

344434324004040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344434324004040 is an abundant number, since it is smaller than the sum of its proper divisors (733794864191160).

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

344434324004040 is a wasteful number, since it uses less digits than its factorization.

344434324004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124795044966 (or 124795044962 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 344434324004040 its reverse (40400423434443), we get a palindrome (384834747438483).

The spelling of 344434324004040 in words is "three hundred forty-four trillion, four hundred thirty-four billion, three hundred twenty-four million, four thousand, forty".