34401135520 has 96 divisors (see below), whose sum is σ = 85602484800. Its totient is φ = 13028253696.

The previous prime is 34401135499. The next prime is 34401135529. The reversal of 34401135520 is 2553110443.

It is not an unprimeable number, because it can be changed into a prime (34401135529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8075151 + ... + 8079409.

It is an arithmetic number, because the mean of its divisors is an integer number (891692550).

Almost surely, 2^34401135520 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 34401135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42801242400).

34401135520 is an abundant number, since it is smaller than the sum of its proper divisors (51201349280).

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

34401135520 is a wasteful number, since it uses less digits than its factorization.

34401135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 34401135520 its reverse (2553110443), we get a palindrome (36954245963).

The spelling of 34401135520 in words is "thirty-four billion, four hundred one million, one hundred thirty-five thousand, five hundred twenty".