34073855924288 has 56 divisors (see below), whose sum is σ = 68524221502464. Its totient is φ = 16809392678400.

The previous prime is 34073855924197. The next prime is 34073855924323. The reversal of 34073855924288 is 88242955837043.

It is a super-2 number, since 2×34073855924288² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10109378 + ... + 13051713.

It is an arithmetic number, because the mean of its divisors is an integer number (1223646812544).

Almost surely, 2^{34073855924288} is an apocalyptic number.

It is an amenable number.

34073855924288 is an abundant number, since it is smaller than the sum of its proper divisors (34450365578176).

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

34073855924288 is a wasteful number, since it uses less digits than its factorization.

34073855924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23161411 (or 23161401 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 68.

The spelling of 34073855924288 in words is "thirty-four trillion, seventy-three billion, eight hundred fifty-five million, nine hundred twenty-four thousand, two hundred eighty-eight".