34374253246752 has 24 divisors (see below), whose sum is σ = 90232414772976. Its totient is φ = 11458084415552.

The previous prime is 34374253246693. The next prime is 34374253246789. The reversal of 34374253246752 is 25764235247343.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 34374253246692 and 34374253246701.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179032568898 + ... + 179032569089.

It is an arithmetic number, because the mean of its divisors is an integer number (3759683948874).

Almost surely, 2^{34374253246752} is an apocalyptic number.

34374253246752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34374253246752 is an abundant number, since it is smaller than the sum of its proper divisors (55858161526224).

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

34374253246752 is a wasteful number, since it uses less digits than its factorization.

34374253246752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358065138000 (or 358065137992 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 57.

The spelling of 34374253246752 in words is "thirty-four trillion, three hundred seventy-four billion, two hundred fifty-three million, two hundred forty-six thousand, seven hundred fifty-two".