34313200 has 60 divisors (see below), whose sum is σ = 83299480. Its totient is φ = 13582080.

The previous prime is 34313197. The next prime is 34313219. The reversal of 34313200 is 231343.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 43207 + ... + 43993.

Almost surely, 2^34313200 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 34313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41649740).

34313200 is an abundant number, since it is smaller than the sum of its proper divisors (48986280).

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

34313200 is a wasteful number, since it uses less digits than its factorization.

34313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 34313200 is about 5857.7470071692. The cubic root of 34313200 is about 324.9528925806.

Adding to 34313200 its reverse (231343), we get a palindrome (34544543).

The spelling of 34313200 in words is "thirty-four million, three hundred thirteen thousand, two hundred".