34414111000 has 128 divisors (see below), whose sum is σ = 84972888000. Its totient is φ = 13009536000.

The previous prime is 34414110977. The next prime is 34414111027. The reversal of 34414111000 is 11141443.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8757036 + ... + 8760964.

Almost surely, 2^34414111000 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 34414111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42486444000).

34414111000 is an abundant number, since it is smaller than the sum of its proper divisors (50558777000).

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

34414111000 is a wasteful number, since it uses less digits than its factorization.

34414111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 34414111000 its reverse (11141443), we get a palindrome (34425252443).

The spelling of 34414111000 in words is "thirty-four billion, four hundred fourteen million, one hundred eleven thousand".