3428228160 has 504 divisors, whose sum is σ = 14533885080. Its totient is φ = 736985088.

The previous prime is 3428228101. The next prime is 3428228173. The reversal of 3428228160 is 618228243.

3428228160 is a `hidden beast` number, since 3 + 428 + 228 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 3281914944 = 12096^2 + 57288^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2398326 + ... + 2399754.

Almost surely, 2^3428228160 is an apocalyptic number.

3428228160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266942540).

3428228160 is an abundant number, since it is smaller than the sum of its proper divisors (11105656920).

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

3428228160 is a wasteful number, since it uses less digits than its factorization.

3428228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3428228160 is about 58551.0730900809. The cubic root of 3428228160 is about 1507.8445571002.

The spelling of 3428228160 in words is "three billion, four hundred twenty-eight million, two hundred twenty-eight thousand, one hundred sixty".