34842038909436 has 72 divisors (see below), whose sum is σ = 100256934121344. Its totient is φ = 10099141710240.

The previous prime is 34842038909399. The next prime is 34842038909453. The reversal of 34842038909436 is 63490983024843.

34842038909436 is a `hidden beast` number, since 3 + 4 + 8 + 420 + 3 + 8 + 90 + 94 + 36 = 666.

34842038909436 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912707126 + ... + 1912725341.

It is an arithmetic number, because the mean of its divisors is an integer number (1392457418352).

Almost surely, 2^{34842038909436} is an apocalyptic number.

34842038909436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34842038909436 is an abundant number, since it is smaller than the sum of its proper divisors (65414895211908).

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

34842038909436 is a wasteful number, since it uses less digits than its factorization.

34842038909436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825432511 (or 3825432506 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 34842038909436 in words is "thirty-four trillion, eight hundred forty-two billion, thirty-eight million, nine hundred nine thousand, four hundred thirty-six".