34028800 has 108 divisors (see below), whose sum is σ = 90927340. Its totient is φ = 12533760.

The previous prime is 34028779. The next prime is 34028821. The reversal of 34028800 is 882043.

It is an interprime number because it is at equal distance from previous prime (34028779) and next prime (34028821).

It can be written as a sum of positive squares in 6 ways, for example, as 295936 + 33732864 = 544^2 + 5808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82996 + ... + 83404.

Almost surely, 2^34028800 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 34028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45463670).

34028800 is an abundant number, since it is smaller than the sum of its proper divisors (56898540).

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

34028800 is a wasteful number, since it uses less digits than its factorization.

34028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 34028800 is about 5833.4209517229. The cubic root of 34028800 is about 324.0526257047.

The spelling of 34028800 in words is "thirty-four million, twenty-eight thousand, eight hundred".