34000253673280 has 28 divisors (see below), whose sum is σ = 80963104060260. Its totient is φ = 13600101469184.

The previous prime is 34000253673263. The next prime is 34000253673289. The reversal of 34000253673280 is 8237635200043.

It can be written as a sum of positive squares in 2 ways, for example, as 21274824151296 + 12725429521984 = 4612464^2 + 3567272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000253673289) 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 3 ways as a sum of consecutive naturals, for example, 53125396045 + ... + 53125396684.

Almost surely, 2^{34000253673280} is an apocalyptic number.

It is an amenable number.

34000253673280 is an abundant number, since it is smaller than the sum of its proper divisors (46962850386980).

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

34000253673280 is a wasteful number, since it uses less digits than its factorization.

34000253673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106250792746 (or 106250792736 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 34000253673280 in words is "thirty-four trillion, two hundred fifty-three million, six hundred seventy-three thousand, two hundred eighty".