34005553684000 has 48 divisors (see below), whose sum is σ = 83551645411416. Its totient is φ = 13602221472000.

The previous prime is 34005553683901. The next prime is 34005553684013. The reversal of 34005553684000 is 48635550043.

It can be written as a sum of positive squares in 4 ways, for example, as 9799429203216 + 24206124480784 = 3130404^2 + 4919972^2 .

It is an unprimeable number.

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, 4250690211 + ... + 4250698210.

Almost surely, 2^{34005553684000} is an apocalyptic number.

It is an amenable number.

34005553684000 is an abundant number, since it is smaller than the sum of its proper divisors (49546091727416).

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

34005553684000 is an equidigital number, since it uses as much as digits as its factorization.

34005553684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501388446 (or 8501388428 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 34005553684000 in words is "thirty-four trillion, five billion, five hundred fifty-three million, six hundred eighty-four thousand".