34879103658 has 144 divisors (see below), whose sum is σ = 91528557120. Its totient is φ = 9925784064.

The previous prime is 34879103647. The next prime is 34879103663. The reversal of 34879103658 is 85630197843.

34879103658 is a `hidden beast` number, since 3 + 487 + 9 + 103 + 6 + 58 = 666.

34879103658 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6260298 + ... + 6265866.

It is an arithmetic number, because the mean of its divisors is an integer number (635614980).

Almost surely, 2^34879103658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34879103658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45764278560).

34879103658 is an abundant number, since it is smaller than the sum of its proper divisors (56649453462).

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

34879103658 is a wasteful number, since it uses less digits than its factorization.

34879103658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 34879103658 in words is "thirty-four billion, eight hundred seventy-nine million, one hundred three thousand, six hundred fifty-eight".