34411412000 has 192 divisors, whose sum is σ = 97398153216. Its totient is φ = 11704089600.

The previous prime is 34411411999. The next prime is 34411412011. The reversal of 34411412000 is 21411443.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3551162 + ... + 3560838.

It is an arithmetic number, because the mean of its divisors is an integer number (507282048).

Almost surely, 2^34411412000 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 34411412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48699076608).

34411412000 is an abundant number, since it is smaller than the sum of its proper divisors (62986741216).

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

34411412000 is a wasteful number, since it uses less digits than its factorization.

34411412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34411412000 its reverse (21411443), we get a palindrome (34432823443).

The spelling of 34411412000 in words is "thirty-four billion, four hundred eleven million, four hundred twelve thousand".