34579203007890 has 32 divisors (see below), whose sum is σ = 87871857056640. Its totient is φ = 8678701931264.

The previous prime is 34579203007819. The next prime is 34579203007933. The reversal of 34579203007890 is 9870030297543.

34579203007890 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34579203007890.

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 15 ways as a sum of consecutive naturals, for example, 33901178910 + ... + 33901179929.

It is an arithmetic number, because the mean of its divisors is an integer number (2745995533020).

Almost surely, 2^{34579203007890} is an apocalyptic number.

34579203007890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34579203007890 is an abundant number, since it is smaller than the sum of its proper divisors (53292654048750).

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

34579203007890 is a wasteful number, since it uses less digits than its factorization.

34579203007890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67802358866.

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 34579203007890 in words is "thirty-four trillion, five hundred seventy-nine billion, two hundred three million, seven thousand, eight hundred ninety".