34709960 has 64 divisors (see below), whose sum is σ = 83160000. Its totient is φ = 13001472.

The previous prime is 34709947. The next prime is 34710001. The reversal of 34709960 is 6990743.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 82631 + ... + 83049.

It is an arithmetic number, because the mean of its divisors is an integer number (1299375).

Almost surely, 2^34709960 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 34709960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41580000).

34709960 is an abundant number, since it is smaller than the sum of its proper divisors (48450040).

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

34709960 is a wasteful number, since it uses less digits than its factorization.

34709960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 34709960 is about 5891.5159339511. The cubic root of 34709960 is about 326.2005615941.

The spelling of 34709960 in words is "thirty-four million, seven hundred nine thousand, nine hundred sixty".