34206113664660 has 288 divisors, whose sum is σ = 111640687022592. Its totient is φ = 7802660517120.

The previous prime is 34206113664659. The next prime is 34206113664677. The reversal of 34206113664660 is 6646631160243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4475478799 + ... + 4475486441.

It is an arithmetic number, because the mean of its divisors is an integer number (387641274384).

Almost surely, 2^{34206113664660} is an apocalyptic number.

34206113664660 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 34206113664660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55820343511296).

34206113664660 is an abundant number, since it is smaller than the sum of its proper divisors (77434573357932).

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

34206113664660 is a wasteful number, since it uses less digits than its factorization.

34206113664660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10563 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 34206113664660 in words is "thirty-four trillion, two hundred six billion, one hundred thirteen million, six hundred sixty-four thousand, six hundred sixty".