34806768 has 80 divisors (see below), whose sum is σ = 93089280. Its totient is φ = 11202048.

The previous prime is 34806731. The next prime is 34806773. The reversal of 34806768 is 86760843.

It is a super-2 number, since 2×34806768² = 2423022197211648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253996 + ... + 254132.

It is an arithmetic number, because the mean of its divisors is an integer number (1163616).

Almost surely, 2^34806768 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 34806768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46544640).

34806768 is an abundant number, since it is smaller than the sum of its proper divisors (58282512).

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

34806768 is a wasteful number, since it uses less digits than its factorization.

34806768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 34806768 is about 5899.7260953370. The cubic root of 34806768 is about 326.5035438986.

The spelling of 34806768 in words is "thirty-four million, eight hundred six thousand, seven hundred sixty-eight".