34201800 has 72 divisors (see below), whose sum is σ = 114867090. Its totient is φ = 9120000.

The previous prime is 34201799. The next prime is 34201819. The reversal of 34201800 is 810243.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19131876 + 15069924 = 4374^2 + 3882^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7701 + ... + 11300.

Almost surely, 2^34201800 is an apocalyptic number.

34201800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34201800 is an abundant number, since it is smaller than the sum of its proper divisors (80665290).

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

34201800 is a wasteful number, since it uses less digits than its factorization.

34201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34201800 is about 5848.2305016133. The cubic root of 34201800 is about 324.6008512089.

The spelling of 34201800 in words is "thirty-four million, two hundred one thousand, eight hundred".