34036701013344 has 48 divisors (see below), whose sum is σ = 89352414830448. Its totient is φ = 11344795617792.

The previous prime is 34036701013333. The next prime is 34036701013349. The reversal of 34036701013344 is 44331010763043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34036701013349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10632727 + ... + 13458390.

It is an arithmetic number, because the mean of its divisors is an integer number (1861508642301).

Almost surely, 2^{34036701013344} is an apocalyptic number.

It is an amenable number.

34036701013344 is an abundant number, since it is smaller than the sum of its proper divisors (55315713817104).

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

34036701013344 is a wasteful number, since it uses less digits than its factorization.

34036701013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105847 (or 24105839 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

Adding to 34036701013344 its reverse (44331010763043), we get a palindrome (78367711776387).

The spelling of 34036701013344 in words is "thirty-four trillion, thirty-six billion, seven hundred one million, thirteen thousand, three hundred forty-four".