34400120 has 32 divisors (see below), whose sum is σ = 77753520. Its totient is φ = 13697280.

The previous prime is 34400117. The next prime is 34400123. The reversal of 34400120 is 2100443.

34400120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34400117) and next prime (34400123).

It is a junction number, because it is equal to n+sod(n) for n = 34400095 and 34400104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7475 + ... + 11165.

Almost surely, 2^34400120 is an apocalyptic number.

It is an amenable number.

34400120 is an abundant number, since it is smaller than the sum of its proper divisors (43353400).

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

34400120 is a wasteful number, since it uses less digits than its factorization.

34400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3931 counting only the distinct ones).

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

The square root of 34400120 is about 5865.1615493522. The cubic root of 34400120 is about 325.2270445059.

Adding to 34400120 its reverse (2100443), we get a palindrome (36500563).

The spelling of 34400120 in words is "thirty-four million, four hundred thousand, one hundred twenty".