34007946 has 32 divisors (see below), whose sum is σ = 78102528. Its totient is φ = 9670320.

The previous prime is 34007893. The next prime is 34007947. The reversal of 34007946 is 64970043.

It is a super-2 number, since 2×34007946² = 2313080782277832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34007947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7551 + ... + 11181.

It is an arithmetic number, because the mean of its divisors is an integer number (2440704).

Almost surely, 2^34007946 is an apocalyptic number.

34007946 is an abundant number, since it is smaller than the sum of its proper divisors (44094582).

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

34007946 is a wasteful number, since it uses less digits than its factorization.

34007946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 34007946 is about 5831.6332189190. The cubic root of 34007946 is about 323.9864153731.

Adding to 34007946 its reverse (64970043), we get a palindrome (98977989).

The spelling of 34007946 in words is "thirty-four million, seven thousand, nine hundred forty-six".