34486206553344 has 864 divisors, whose sum is σ = 118340515659520. Its totient is φ = 8681341059072.

The previous prime is 34486206553319. The next prime is 34486206553411. The reversal of 34486206553344 is 44335560268443.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 28430507682 + ... + 28430508894.

Almost surely, 2^{34486206553344} 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 34486206553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59170257829760).

34486206553344 is an abundant number, since it is smaller than the sum of its proper divisors (83854309106176).

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

34486206553344 is a wasteful number, since it uses less digits than its factorization.

34486206553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 57.

The spelling of 34486206553344 in words is "thirty-four trillion, four hundred eighty-six billion, two hundred six million, five hundred fifty-three thousand, three hundred forty-four".