34260800 has 252 divisors, whose sum is σ = 107716320. Its totient is φ = 10644480.

The previous prime is 34260767. The next prime is 34260847. The reversal of 34260800 is 806243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1489589 + ... + 1489611.

Almost surely, 2^34260800 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 34260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53858160).

34260800 is an abundant number, since it is smaller than the sum of its proper divisors (73455520).

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

34260800 is a wasteful number, since it uses less digits than its factorization.

34260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 34260800 is about 5853.2725889027. The cubic root of 34260800 is about 324.7873954681.

It can be divided in two parts, 342 and 60800, that multiplied together give a square (20793600 = 4560²).

The spelling of 34260800 in words is "thirty-four million, two hundred sixty thousand, eight hundred".