34007340 has 96 divisors (see below), whose sum is σ = 104670720. Its totient is φ = 8211456.

The previous prime is 34007339. The next prime is 34007353. The reversal of 34007340 is 4370043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25572 + ... + 26868.

It is an arithmetic number, because the mean of its divisors is an integer number (1090320).

Almost surely, 2^34007340 is an apocalyptic number.

34007340 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 34007340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52335360).

34007340 is an abundant number, since it is smaller than the sum of its proper divisors (70663380).

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

34007340 is a wasteful number, since it uses less digits than its factorization.

34007340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 34007340 is about 5831.5812606874. The cubic root of 34007340 is about 323.9844909510.

Adding to 34007340 its reverse (4370043), we get a palindrome (38377383).

The spelling of 34007340 in words is "thirty-four million, seven thousand, three hundred forty".