34001200 has 60 divisors (see below), whose sum is σ = 82338480. Its totient is φ = 13492480.

The previous prime is 34001183. The next prime is 34001239. The reversal of 34001200 is 210043.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66546 + ... + 67054.

It is an arithmetic number, because the mean of its divisors is an integer number (1372308).

Almost surely, 2^34001200 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 34001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41169240).

34001200 is an abundant number, since it is smaller than the sum of its proper divisors (48337280).

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

34001200 is a wasteful number, since it uses less digits than its factorization.

34001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34001200 is about 5831.0547930885. The cubic root of 34001200 is about 323.9649913909.

Adding to 34001200 its reverse (210043), we get a palindrome (34211243).

The spelling of 34001200 in words is "thirty-four million, one thousand, two hundred".