34768848 has 80 divisors (see below), whose sum is σ = 93208320. Its totient is φ = 11162112.

The previous prime is 34768843. The next prime is 34768849. The reversal of 34768848 is 84886743.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34768797 and 34768806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200890 + ... + 201062.

It is an arithmetic number, because the mean of its divisors is an integer number (1165104).

Almost surely, 2^34768848 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 34768848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46604160).

34768848 is an abundant number, since it is smaller than the sum of its proper divisors (58439472).

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

34768848 is a wasteful number, since it uses less digits than its factorization.

34768848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 34768848 is about 5896.5115110547. The cubic root of 34768848 is about 326.3849317823.

The spelling of 34768848 in words is "thirty-four million, seven hundred sixty-eight thousand, eight hundred forty-eight".