34428800029 has 16 divisors (see below), whose sum is σ = 38928193920. Its totient is φ = 30226553280.

The previous prime is 34428800011. The next prime is 34428800039. The reversal of 34428800029 is 92000882443.

It is a cyclic number.

It is not a de Polignac number, because 34428800029 - 2¹⁹ = 34428275741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34428799964 and 34428800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34428800039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656257 + ... + 706774.

It is an arithmetic number, because the mean of its divisors is an integer number (2433012120).

Almost surely, 2^34428800029 is an apocalyptic number.

It is an amenable number.

34428800029 is a deficient number, since it is larger than the sum of its proper divisors (4499393891).

34428800029 is a wasteful number, since it uses less digits than its factorization.

34428800029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363140.

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 34428800029 in words is "thirty-four billion, four hundred twenty-eight million, eight hundred thousand, twenty-nine".