34368058385472 has 448 divisors, whose sum is σ = 112646355148800. Its totient is φ = 9030947143680.

The previous prime is 34368058385461. The next prime is 34368058385513. The reversal of 34368058385472 is 27458385086343.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 215964429 + ... + 216123507.

Almost surely, 2^{34368058385472} is an apocalyptic number.

34368058385472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34368058385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56323177574400).

34368058385472 is an abundant number, since it is smaller than the sum of its proper divisors (78278296763328).

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

34368058385472 is a wasteful number, since it uses less digits than its factorization.

34368058385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159394 (or 159384 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 66.

The spelling of 34368058385472 in words is "thirty-four trillion, three hundred sixty-eight billion, fifty-eight million, three hundred eighty-five thousand, four hundred seventy-two".