34136800 has 72 divisors (see below), whose sum is σ = 84650832. Its totient is φ = 13440000.

The previous prime is 34136789. The next prime is 34136803. The reversal of 34136800 is 863143.

It is a super-2 number, since 2×34136800² = 2330642228480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34136803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56500 + ... + 57100.

It is an arithmetic number, because the mean of its divisors is an integer number (1175706).

Almost surely, 2^34136800 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 34136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325416).

34136800 is an abundant number, since it is smaller than the sum of its proper divisors (50514032).

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

34136800 is a wasteful number, since it uses less digits than its factorization.

34136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34136800 is about 5842.6706222412. The cubic root of 34136800 is about 324.3950878124.

Adding to 34136800 its reverse (863143), we get a palindrome (34999943).

The spelling of 34136800 in words is "thirty-four million, one hundred thirty-six thousand, eight hundred".