34793813960 has 64 divisors (see below), whose sum is σ = 81792305280. Its totient is φ = 13295715840.

The previous prime is 34793813939. The next prime is 34793814017. The reversal of 34793813960 is 6931839743.

It is a Cunningham number, because it is equal to 186531²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722804 + ... + 769436.

It is an arithmetic number, because the mean of its divisors is an integer number (1278004770).

Almost surely, 2^34793813960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34793813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40896152640).

34793813960 is an abundant number, since it is smaller than the sum of its proper divisors (46998491320).

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

34793813960 is a wasteful number, since it uses less digits than its factorization.

34793813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47478 (or 47474 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 53.

The spelling of 34793813960 in words is "thirty-four billion, seven hundred ninety-three million, eight hundred thirteen thousand, nine hundred sixty".