34235044040 has 96 divisors (see below), whose sum is σ = 84648925800. Its totient is φ = 12443934720.

The previous prime is 34235044007. The next prime is 34235044043. The reversal of 34235044040 is 4044053243.

It can be written as a sum of positive squares in 12 ways, for example, as 3007206244 + 31227837796 = 54838^2 + 176714^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 34235043994 and 34235044012.

It is not an unprimeable number, because it can be changed into a prime (34235044043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284180 + ... + 386300.

Almost surely, 2^34235044040 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 34235044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42324462900).

34235044040 is an abundant number, since it is smaller than the sum of its proper divisors (50413881760).

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

34235044040 is a wasteful number, since it uses less digits than its factorization.

34235044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102195 (or 102174 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 34235044040 its reverse (4044053243), we get a palindrome (38279097283).

The spelling of 34235044040 in words is "thirty-four billion, two hundred thirty-five million, forty-four thousand, forty".