34538818000 has 40 divisors (see below), whose sum is σ = 83514866760. Its totient is φ = 13815526400.

The previous prime is 34538817961. The next prime is 34538818003. The reversal of 34538818000 is 81883543.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 34312375696 = 15048^2 + 185236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34538818003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8632705 + ... + 8636704.

It is an arithmetic number, because the mean of its divisors is an integer number (2087871669).

Almost surely, 2^34538818000 is an apocalyptic number.

It is an amenable number.

34538818000 is an abundant number, since it is smaller than the sum of its proper divisors (48976048760).

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

34538818000 is a wasteful number, since it uses less digits than its factorization.

34538818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269432 (or 17269416 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 34538818000 in words is "thirty-four billion, five hundred thirty-eight million, eight hundred eighteen thousand".