34446049060800 has 672 divisors, whose sum is σ = 125965142714880. Its totient is φ = 8182521446400.

The previous prime is 34446049060783. The next prime is 34446049060859. The reversal of 34446049060800 is 806094064443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34446049060800.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5072305405 + ... + 5072312195.

It is an arithmetic number, because the mean of its divisors is an integer number (187448129040).

Almost surely, 2^{34446049060800} is an apocalyptic number.

34446049060800 is a gapful number since it is divisible by the number (30) 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 34446049060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62982571357440).

34446049060800 is an abundant number, since it is smaller than the sum of its proper divisors (91519093654080).

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

34446049060800 is a wasteful number, since it uses less digits than its factorization.

34446049060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 34446049060800 in words is "thirty-four trillion, four hundred forty-six billion, forty-nine million, sixty thousand, eight hundred".