34627768 has 32 divisors (see below), whose sum is σ = 74908800. Its totient is φ = 14699232.

The previous prime is 34627753. The next prime is 34627781. The reversal of 34627768 is 86772643.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3103 + ... + 8881.

It is an arithmetic number, because the mean of its divisors is an integer number (2340900).

Almost surely, 2^34627768 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 34627768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454400).

34627768 is an abundant number, since it is smaller than the sum of its proper divisors (40281032).

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

34627768 is a wasteful number, since it uses less digits than its factorization.

34627768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5895 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 34627768 is about 5884.5363453717. The cubic root of 34627768 is about 325.9428808303.

The spelling of 34627768 in words is "thirty-four million, six hundred twenty-seven thousand, seven hundred sixty-eight".