34200900 has 144 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 8910720.

The previous prime is 34200869. The next prime is 34200911. The reversal of 34200900 is 900243.

It is a super-3 number, since 3×34200900³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 142981 + ... + 143219.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^34200900 is an apocalyptic number.

34200900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

34200900 is an abundant number, since it is smaller than the sum of its proper divisors (78291900).

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

34200900 is a wasteful number, since it uses less digits than its factorization.

34200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 34200900 is about 5848.1535547556. The cubic root of 34200900 is about 324.5980039579.

The spelling of 34200900 in words is "thirty-four million, two hundred thousand, nine hundred".