34540242120 has 192 divisors, whose sum is σ = 118354392000. Its totient is φ = 8711898624.

The previous prime is 34540242013. The next prime is 34540242131. The reversal of 34540242120 is 2124204543.

34540242120 is a `hidden beast` number, since 3 + 45 + 402 + 4 + 212 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4626951 + ... + 4634409.

It is an arithmetic number, because the mean of its divisors is an integer number (616429125).

Almost surely, 2^34540242120 is an apocalyptic number.

34540242120 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 34540242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59177196000).

34540242120 is an abundant number, since it is smaller than the sum of its proper divisors (83814149880).

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

34540242120 is a wasteful number, since it uses less digits than its factorization.

34540242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34540242120 its reverse (2124204543), we get a palindrome (36664446663).

The spelling of 34540242120 in words is "thirty-four billion, five hundred forty million, two hundred forty-two thousand, one hundred twenty".