34848300 has 72 divisors (see below), whose sum is σ = 106774416. Its totient is φ = 8744960.

The previous prime is 34848293. The next prime is 34848311. The reversal of 34848300 is 384843.

34848300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1684 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (1482978).

Almost surely, 2^34848300 is an apocalyptic number.

34848300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34848300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53387208).

34848300 is an abundant number, since it is smaller than the sum of its proper divisors (71926116).

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

34848300 is a wasteful number, since it uses less digits than its factorization.

34848300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34848300 is about 5903.2448704081. The cubic root of 34848300 is about 326.6333553889.

The spelling of 34848300 in words is "thirty-four million, eight hundred forty-eight thousand, three hundred".