34200000 has 252 divisors, whose sum is σ = 128976120. Its totient is φ = 8640000.

The previous prime is 34199993. The next prime is 34200013. The reversal of 34200000 is 243.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1799991 + ... + 1800009.

It is an arithmetic number, because the mean of its divisors is an integer number (511810).

Almost surely, 2^34200000 is an apocalyptic number.

34200000 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 34200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64488060).

34200000 is an abundant number, since it is smaller than the sum of its proper divisors (94776120).

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

34200000 is an equidigital number, since it uses as much as digits as its factorization.

34200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 34200000 is about 5848.0766068854. The cubic root of 34200000 is about 324.5951566570.

Adding to 34200000 its reverse (243), we get a palindrome (34200243).

The spelling of 34200000 in words is "thirty-four million, two hundred thousand".