34201200 has 120 divisors (see below), whose sum is σ = 119563776. Its totient is φ = 8288000.

The previous prime is 34201199. The next prime is 34201213. The reversal of 34201200 is 210243.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11905 + ... + 14495.

Almost surely, 2^34201200 is an apocalyptic number.

34201200 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 34201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59781888).

34201200 is an abundant number, since it is smaller than the sum of its proper divisors (85362576).

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

34201200 is a wasteful number, since it uses less digits than its factorization.

34201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34201200 is about 5848.1792038206. The cubic root of 34201200 is about 324.5989530471.

Adding to 34201200 its reverse (210243), we get a palindrome (34411443).

The spelling of 34201200 in words is "thirty-four million, two hundred one thousand, two hundred".