34879593060 has 288 divisors, whose sum is σ = 119506907520. Its totient is φ = 8487908352.

The previous prime is 34879593031. The next prime is 34879593079. The reversal of 34879593060 is 6039597843.

34879593060 is a `hidden beast` number, since 3 + 48 + 7 + 9 + 593 + 0 + 6 + 0 = 666.

34879593060 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 a junction number, because it is equal to n+sod(n) for n = 34879592988 and 34879593006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5619919 + ... + 5626121.

It is an arithmetic number, because the mean of its divisors is an integer number (414954540).

Almost surely, 2^34879593060 is an apocalyptic number.

34879593060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34879593060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59753453760).

34879593060 is an abundant number, since it is smaller than the sum of its proper divisors (84627314460).

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

34879593060 is a wasteful number, since it uses less digits than its factorization.

34879593060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 34879593060 in words is "thirty-four billion, eight hundred seventy-nine million, five hundred ninety-three thousand, sixty".