34000740 has 72 divisors (see below), whose sum is σ = 105356160. Its totient is φ = 8871744.

The previous prime is 34000723. The next prime is 34000763. The reversal of 34000740 is 4700043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6451 + ... + 10469.

It is an arithmetic number, because the mean of its divisors is an integer number (1463280).

Almost surely, 2^34000740 is an apocalyptic number.

34000740 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 34000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52678080).

34000740 is an abundant number, since it is smaller than the sum of its proper divisors (71355420).

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

34000740 is a wasteful number, since it uses less digits than its factorization.

34000740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34000740 is about 5831.0153489765. The cubic root of 34000740 is about 323.9635304173.

Adding to 34000740 its reverse (4700043), we get a palindrome (38700783).

The spelling of 34000740 in words is "thirty-four million, seven hundred forty", and thus it is an aban number.