34132444000 has 96 divisors (see below), whose sum is σ = 85285418400. Its totient is φ = 13421478400.

The previous prime is 34132443977. The next prime is 34132444007. The reversal of 34132444000 is 44423143.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132444007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 163686 + ... + 308314.

It is an arithmetic number, because the mean of its divisors is an integer number (888389775).

Almost surely, 2^34132444000 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 34132444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42642709200).

34132444000 is an abundant number, since it is smaller than the sum of its proper divisors (51152974400).

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

34132444000 is a wasteful number, since it uses less digits than its factorization.

34132444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144713 (or 144695 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34132444000 its reverse (44423143), we get a palindrome (34176867143).

The spelling of 34132444000 in words is "thirty-four billion, one hundred thirty-two million, four hundred forty-four thousand".