34320213200 has 240 divisors, whose sum is σ = 101807817216. Its totient is φ = 10826956800.

The previous prime is 34320213131. The next prime is 34320213233. The reversal of 34320213200 is 231202343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12847865 + ... + 12850535.

Almost surely, 2^34320213200 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 34320213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50903908608).

34320213200 is an abundant number, since it is smaller than the sum of its proper divisors (67487604016).

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

34320213200 is a wasteful number, since it uses less digits than its factorization.

34320213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34320213200 its reverse (231202343), we get a palindrome (34551415543).

The spelling of 34320213200 in words is "thirty-four billion, three hundred twenty million, two hundred thirteen thousand, two hundred".