34007634 has 32 divisors (see below), whose sum is σ = 76616640. Its totient is φ = 11179296.

The previous prime is 34007629. The next prime is 34007641. The reversal of 34007634 is 43670043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34007598 and 34007607.

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 15 ways as a sum of consecutive naturals, for example, 372 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (2394270).

Almost surely, 2^34007634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34007634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38308320).

34007634 is an abundant number, since it is smaller than the sum of its proper divisors (42609006).

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

34007634 is a wasteful number, since it uses less digits than its factorization.

34007634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34007634 is about 5831.6064682041. The cubic root of 34007634 is about 323.9854245844.

Adding to 34007634 its reverse (43670043), we get a palindrome (77677677).

The spelling of 34007634 in words is "thirty-four million, seven thousand, six hundred thirty-four".