34040113020 has 144 divisors (see below), whose sum is σ = 104760190080. Its totient is φ = 8945722368.

The previous prime is 34040113001. The next prime is 34040113027. The reversal of 34040113020 is 2031104043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34040112984 and 34040113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040113027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5074989 + ... + 5081691.

It is an arithmetic number, because the mean of its divisors is an integer number (727501320).

Almost surely, 2^34040113020 is an apocalyptic number.

34040113020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52380095040).

34040113020 is an abundant number, since it is smaller than the sum of its proper divisors (70720077060).

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

34040113020 is a wasteful number, since it uses less digits than its factorization.

34040113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34040113020 its reverse (2031104043), we get a palindrome (36071217063).

The spelling of 34040113020 in words is "thirty-four billion, forty million, one hundred thirteen thousand, twenty".