3427820928 has 192 divisors, whose sum is σ = 11433726720. Its totient is φ = 965422080.

The previous prime is 3427820839. The next prime is 3427820941. The reversal of 3427820928 is 8290287243.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 3.

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 23 ways as a sum of consecutive naturals, for example, 569551 + ... + 575537.

It is an arithmetic number, because the mean of its divisors is an integer number (59550660).

Almost surely, 2^3427820928 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 3427820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716863360).

3427820928 is an abundant number, since it is smaller than the sum of its proper divisors (8005905792).

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

3427820928 is a wasteful number, since it uses less digits than its factorization.

3427820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3427820928 is about 58547.5954074973. The cubic root of 3427820928 is about 1507.7848501767.

The spelling of 3427820928 in words is "three billion, four hundred twenty-seven million, eight hundred twenty thousand, nine hundred twenty-eight".