34113342120 has 256 divisors, whose sum is σ = 122030254080. Its totient is φ = 7519564800.

The previous prime is 34113342119. The next prime is 34113342143. The reversal of 34113342120 is 2124331143.

It is a happy number.

It is a super-2 number, since 2×34113342120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1134885 + ... + 1164555.

It is an arithmetic number, because the mean of its divisors is an integer number (476680680).

Almost surely, 2^34113342120 is an apocalyptic number.

34113342120 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 34113342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61015127040).

34113342120 is an abundant number, since it is smaller than the sum of its proper divisors (87916911960).

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

34113342120 is a wasteful number, since it uses less digits than its factorization.

34113342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29776 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34113342120 its reverse (2124331143), we get a palindrome (36237673263).

The spelling of 34113342120 in words is "thirty-four billion, one hundred thirteen million, three hundred forty-two thousand, one hundred twenty".