34001241120 has 864 divisors, whose sum is σ = 149558887296. Its totient is φ = 6954393600.

The previous prime is 34001241097. The next prime is 34001241121. The reversal of 34001241120 is 2114210043.

34001241120 is a `hidden beast` number, since 3 + 400 + 1 + 241 + 1 + 20 = 666.

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 = 34001241093 and 34001241102.

It is not an unprimeable number, because it can be changed into a prime (34001241121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55107052 + ... + 55107668.

It is an arithmetic number, because the mean of its divisors is an integer number (173100564).

Almost surely, 2^34001241120 is an apocalyptic number.

34001241120 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 34001241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74779443648).

34001241120 is an abundant number, since it is smaller than the sum of its proper divisors (115557646176).

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

34001241120 is a wasteful number, since it uses less digits than its factorization.

34001241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34001241120 its reverse (2114210043), we get a palindrome (36115451163).

The spelling of 34001241120 in words is "thirty-four billion, one million, two hundred forty-one thousand, one hundred twenty".