34431167680 has 336 divisors, whose sum is σ = 106826791680. Its totient is φ = 10321219584.

The previous prime is 34431167653. The next prime is 34431167689. The reversal of 34431167680 is 8676113443.

It is not an unprimeable number, because it can be changed into a prime (34431167689) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7190247 + ... + 7195033.

It is an arithmetic number, because the mean of its divisors is an integer number (317936880).

Almost surely, 2^34431167680 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 34431167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53413395840).

34431167680 is an abundant number, since it is smaller than the sum of its proper divisors (72395624000).

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

34431167680 is a wasteful number, since it uses less digits than its factorization.

34431167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 34431167680 in words is "thirty-four billion, four hundred thirty-one million, one hundred sixty-seven thousand, six hundred eighty".