34100040120 has 128 divisors (see below), whose sum is σ = 107005155840. Its totient is φ = 8677025280.

The previous prime is 34100040113. The next prime is 34100040133. The reversal of 34100040120 is 2104000143.

It is a super-2 number, since 2×34100040120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34100040120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147287 + ... + 1176633.

It is an arithmetic number, because the mean of its divisors is an integer number (835977780).

Almost surely, 2^34100040120 is an apocalyptic number.

34100040120 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 34100040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53502577920).

34100040120 is an abundant number, since it is smaller than the sum of its proper divisors (72905115720).

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

34100040120 is a wasteful number, since it uses less digits than its factorization.

34100040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29805 (or 29801 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 34100040120 its reverse (2104000143), we get a palindrome (36204040263).

The spelling of 34100040120 in words is "thirty-four billion, one hundred million, forty thousand, one hundred twenty".