34768636 has 36 divisors (see below), whose sum is σ = 72136008. Its totient is φ = 14615328.

The previous prime is 34768633. The next prime is 34768637. The reversal of 34768636 is 63686743.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34768592 and 34768601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8715 + ... + 12061.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 2^34768636 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 34768636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068004).

34768636 is an abundant number, since it is smaller than the sum of its proper divisors (37367372).

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

34768636 is a wasteful number, since it uses less digits than its factorization.

34768636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3409 counting only the distinct ones).

The product of its digits is 435456, while the sum is 43.

The square root of 34768636 is about 5896.4935342965. The cubic root of 34768636 is about 326.3842684131.

The spelling of 34768636 in words is "thirty-four million, seven hundred sixty-eight thousand, six hundred thirty-six".