34120311040 has 108 divisors (see below), whose sum is σ = 86820124356. Its totient is φ = 12845154304.

The previous prime is 34120311037. The next prime is 34120311047. The reversal of 34120311040 is 4011302143.

It can be written as a sum of positive squares in 6 ways, for example, as 990486784 + 33129824256 = 31472^2 + 182016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34120310999 and 34120311017.

It is not an unprimeable number, because it can be changed into a prime (34120311047) 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, 323802 + ... + 416038.

Almost surely, 2^34120311040 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 34120311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43410062178).

34120311040 is an abundant number, since it is smaller than the sum of its proper divisors (52699813316).

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

34120311040 is an equidigital number, since it uses as much as digits as its factorization.

34120311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92292 (or 92261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34120311040 its reverse (4011302143), we get a palindrome (38131613183).

The spelling of 34120311040 in words is "thirty-four billion, one hundred twenty million, three hundred eleven thousand, forty".