34402033120 has 96 divisors (see below), whose sum is σ = 100030569408. Its totient is φ = 10887671808.

The previous prime is 34402033117. The next prime is 34402033157. The reversal of 34402033120 is 2133020443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34402033091 and 34402033100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1166829 + ... + 1195948.

It is an arithmetic number, because the mean of its divisors is an integer number (1041985098).

Almost surely, 2^34402033120 is an apocalyptic number.

It is an amenable number.

34402033120 is an abundant number, since it is smaller than the sum of its proper divisors (65628536288).

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

34402033120 is a wasteful number, since it uses less digits than its factorization.

34402033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362812 (or 2362804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34402033120 its reverse (2133020443), we get a palindrome (36535053563).

The spelling of 34402033120 in words is "thirty-four billion, four hundred two million, thirty-three thousand, one hundred twenty".