34816972806 has 288 divisors, whose sum is σ = 98465013504. Its totient is φ = 8632915200.

The previous prime is 34816972759. The next prime is 34816972811. The reversal of 34816972806 is 60827961843.

34816972806 is a `hidden beast` number, since 348 + 16 + 9 + 7 + 280 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221764080 + ... + 221764236.

It is an arithmetic number, because the mean of its divisors is an integer number (341892408).

Almost surely, 2^34816972806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34816972806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49232506752).

34816972806 is an abundant number, since it is smaller than the sum of its proper divisors (63648040698).

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

34816972806 is a wasteful number, since it uses less digits than its factorization.

34816972806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 34816972806 in words is "thirty-four billion, eight hundred sixteen million, nine hundred seventy-two thousand, eight hundred six".