34825861006336 has 33 divisors (see below), whose sum is σ = 69618089886429. Its totient is φ = 17412836081664.

The previous prime is 34825861006291. The next prime is 34825861006379. The reversal of 34825861006336 is 63360016852843.

The square root of 34825861006336 is 5901344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1052840166400 + 33773020839936 = 1026080^2 + 5811456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 188750800 + ... + 188935216.

Almost surely, 2^{34825861006336} is an apocalyptic number.

34825861006336 is the 5901344-th square number.

It is an amenable number.

34825861006336 is a deficient number, since it is larger than the sum of its proper divisors (34792228880093).

34825861006336 is an frugal number, since it uses more digits than its factorization.

34825861006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368854 (or 184419 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 34825861006336 in words is "thirty-four trillion, eight hundred twenty-five billion, eight hundred sixty-one million, six thousand, three hundred thirty-six".