34481338400 has 72 divisors (see below), whose sum is σ = 84234608640. Its totient is φ = 13783189760.

The previous prime is 34481338369. The next prime is 34481338403. The reversal of 34481338400 is 483318443.

It is not an unprimeable number, because it can be changed into a prime (34481338403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233377 + ... + 1261023.

It is an arithmetic number, because the mean of its divisors is an integer number (1169925120).

Almost surely, 2^34481338400 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 34481338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42117304320).

34481338400 is an abundant number, since it is smaller than the sum of its proper divisors (49753270240).

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

34481338400 is a wasteful number, since it uses less digits than its factorization.

34481338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29226 (or 29213 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 34481338400 in words is "thirty-four billion, four hundred eighty-one million, three hundred thirty-eight thousand, four hundred".