34816816001 has 24 divisors (see below), whose sum is σ = 38459881320. Its totient is φ = 31494862080.

The previous prime is 34816815997. The next prime is 34816816003. The reversal of 34816816001 is 10061861843.

It can be written as a sum of positive squares in 4 ways, for example, as 21374732401 + 13442083600 = 146201^2 + 115940^2 .

It is not a de Polignac number, because 34816816001 - 2² = 34816815997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34816816003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28145555 + ... + 28146791.

It is an arithmetic number, because the mean of its divisors is an integer number (1602495055).

Almost surely, 2^34816816001 is an apocalyptic number.

It is an amenable number.

34816816001 is a deficient number, since it is larger than the sum of its proper divisors (3643065319).

34816816001 is a wasteful number, since it uses less digits than its factorization.

34816816001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 34816816001 in words is "thirty-four billion, eight hundred sixteen million, eight hundred sixteen thousand, one".