34400312144439 has 32 divisors (see below), whose sum is σ = 47117634643200. Its totient is φ = 22312494150912.

The previous prime is 34400312144381. The next prime is 34400312144477. The reversal of 34400312144439 is 93444121300443.

It is not a de Polignac number, because 34400312144439 - 2⁷ = 34400312144311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34400312144439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400312144489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117737259 + ... + 118029075.

It is an arithmetic number, because the mean of its divisors is an integer number (1472426082600).

Almost surely, 2^{34400312144439} is an apocalyptic number.

34400312144439 is a deficient number, since it is larger than the sum of its proper divisors (12717322498761).

34400312144439 is a wasteful number, since it uses less digits than its factorization.

34400312144439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295439.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 34400312144439 in words is "thirty-four trillion, four hundred billion, three hundred twelve million, one hundred forty-four thousand, four hundred thirty-nine".