34816848 has 160 divisors (see below), whose sum is σ = 106278912. Its totient is φ = 9715200.

The previous prime is 34816843. The next prime is 34816861. The reversal of 34816848 is 84861843.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34816843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570738 + ... + 570798.

Almost surely, 2^34816848 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 34816848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53139456).

34816848 is an abundant number, since it is smaller than the sum of its proper divisors (71462064).

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

34816848 is a wasteful number, since it uses less digits than its factorization.

34816848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 34816848 is about 5900.5803104440. The cubic root of 34816848 is about 326.5350592069.

The spelling of 34816848 in words is "thirty-four million, eight hundred sixteen thousand, eight hundred forty-eight".