34054332120 has 128 divisors (see below), whose sum is σ = 113749286400. Its totient is φ = 9062368128.

The previous prime is 34054332113. The next prime is 34054332131. The reversal of 34054332120 is 2123345043.

34054332120 is a `hidden beast` number, since 3 + 405 + 43 + 3 + 212 + 0 = 666.

It is a super-2 number, since 2×34054332120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493587 + ... + 558333.

It is an arithmetic number, because the mean of its divisors is an integer number (888666300).

Almost surely, 2^34054332120 is an apocalyptic number.

34054332120 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 34054332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56874643200).

34054332120 is an abundant number, since it is smaller than the sum of its proper divisors (79694954280).

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

34054332120 is a wasteful number, since it uses less digits than its factorization.

34054332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65254 (or 65244 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34054332120 its reverse (2123345043), we get a palindrome (36177677163).

The spelling of 34054332120 in words is "thirty-four billion, fifty-four million, three hundred thirty-two thousand, one hundred twenty".