34768896 has 48 divisors (see below), whose sum is σ = 92710800. Its totient is φ = 11587584.

The previous prime is 34768891. The next prime is 34768907. The reversal of 34768896 is 69886743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34768896² = 2417752258117632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34768891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3315 + ... + 8973.

It is an arithmetic number, because the mean of its divisors is an integer number (1931475).

Almost surely, 2^34768896 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 34768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46355400).

34768896 is an abundant number, since it is smaller than the sum of its proper divisors (57941904).

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

34768896 is an equidigital number, since it uses as much as digits as its factorization.

34768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5664 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 34768896 is about 5896.5155812564. The cubic root of 34768896 is about 326.3850819787.

The spelling of 34768896 in words is "thirty-four million, seven hundred sixty-eight thousand, eight hundred ninety-six".