34431443004 has 96 divisors (see below), whose sum is σ = 93620136960. Its totient is φ = 9644663808.

The previous prime is 34431442999. The next prime is 34431443021. The reversal of 34431443004 is 40034413443.

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, 9075732 + ... + 9079524.

It is an arithmetic number, because the mean of its divisors is an integer number (975209760).

Almost surely, 2^34431443004 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 34431443004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46810068480).

34431443004 is an abundant number, since it is smaller than the sum of its proper divisors (59188693956).

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

34431443004 is a wasteful number, since it uses less digits than its factorization.

34431443004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34431443004 its reverse (40034413443), we get a palindrome (74465856447).

The spelling of 34431443004 in words is "thirty-four billion, four hundred thirty-one million, four hundred forty-three thousand, four".