34380800 has 132 divisors (see below), whose sum is σ = 91378080. Its totient is φ = 12779520.

The previous prime is 34380793. The next prime is 34380811. The reversal of 34380800 is 808343.

It is a self number, because there is not a number n which added to its sum of digits gives 34380800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435161 + ... + 435239.

Almost surely, 2^34380800 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 34380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45689040).

34380800 is an abundant number, since it is smaller than the sum of its proper divisors (56997280).

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

34380800 is a wasteful number, since it uses less digits than its factorization.

34380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 34380800 is about 5863.5143045788. The cubic root of 34380800 is about 325.1661477884.

The spelling of 34380800 in words is "thirty-four million, three hundred eighty thousand, eight hundred".