34402445000 has 320 divisors, whose sum is σ = 105806131200. Its totient is φ = 10156320000.

The previous prime is 34402444997. The next prime is 34402445039. The reversal of 34402445000 is 54420443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7312649 + ... + 7317351.

It is an arithmetic number, because the mean of its divisors is an integer number (330644160).

Almost surely, 2^34402445000 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 34402445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52903065600).

34402445000 is an abundant number, since it is smaller than the sum of its proper divisors (71403686200).

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

34402445000 is a wasteful number, since it uses less digits than its factorization.

34402445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 34402445000 its reverse (54420443), we get a palindrome (34456865443).

The spelling of 34402445000 in words is "thirty-four billion, four hundred two million, four hundred forty-five thousand".