34040120 has 64 divisors (see below), whose sum is σ = 81997920. Its totient is φ = 12673024.

The previous prime is 34040117. The next prime is 34040141. The reversal of 34040120 is 2104043.

It is a super-2 number, since 2×34040120² = 2317459539228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34040095 and 34040104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 76619 + ... + 77061.

Almost surely, 2^34040120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40998960).

34040120 is an abundant number, since it is smaller than the sum of its proper divisors (47957800).

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

34040120 is a wasteful number, since it uses less digits than its factorization.

34040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34040120 is about 5834.3911421844. The cubic root of 34040120 is about 324.0885547710.

Adding to 34040120 its reverse (2104043), we get a palindrome (36144163).

The spelling of 34040120 in words is "thirty-four million, forty thousand, one hundred twenty".