34800386368 has 56 divisors (see below), whose sum is σ = 75751419744. Its totient is φ = 15730905600.

The previous prime is 34800386323. The next prime is 34800386393. The reversal of 34800386368 is 86368300843.

It is a super-2 number, since 2×34800386368² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9130 + ... + 263977.

It is an arithmetic number, because the mean of its divisors is an integer number (1352703924).

Almost surely, 2^34800386368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34800386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37875709872).

34800386368 is an abundant number, since it is smaller than the sum of its proper divisors (40951033376).

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

34800386368 is a wasteful number, since it uses less digits than its factorization.

34800386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273311 (or 273301 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 34800386368 in words is "thirty-four billion, eight hundred million, three hundred eighty-six thousand, three hundred sixty-eight".