34388200 has 216 divisors, whose sum is σ = 105754950. Its totient is φ = 10348800.

The previous prime is 34388173. The next prime is 34388257. The reversal of 34388200 is 288343.

It can be written as a sum of positive squares in 3 ways, for example, as 25826724 + 8561476 = 5082^2 + 2926^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1185786 + ... + 1185814.

Almost surely, 2^34388200 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 34388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52877475).

34388200 is an abundant number, since it is smaller than the sum of its proper divisors (71366750).

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

34388200 is a wasteful number, since it uses less digits than its factorization.

34388200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 34388200 is about 5864.1452915152. The cubic root of 34388200 is about 325.1894753131.

It can be divided in two parts, 3 and 4388200, that added together give a triangular number (4388203 = T₂₉₆₂).

The spelling of 34388200 in words is "thirty-four million, three hundred eighty-eight thousand, two hundred".