34320440000 has 420 divisors, whose sum is σ = 107012457552. Its totient is φ = 10686720000.

The previous prime is 34320439997. The next prime is 34320440041. The reversal of 34320440000 is 4402343.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33879494 + ... + 33880506.

Almost surely, 2^34320440000 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 34320440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53506228776).

34320440000 is an abundant number, since it is smaller than the sum of its proper divisors (72692017552).

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

34320440000 is a wasteful number, since it uses less digits than its factorization.

34320440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34320440000 its reverse (4402343), we get a palindrome (34324842343).

The spelling of 34320440000 in words is "thirty-four billion, three hundred twenty million, four hundred forty thousand".