3928222800 has 90 divisors (see below), whose sum is σ = 13632036782. Its totient is φ = 1047525120.

The previous prime is 3928222799. The next prime is 3928222807. The reversal of 3928222800 is 82228293.

It can be written as a sum of positive squares in 3 ways, for example, as 309478464 + 3618744336 = 17592^2 + 60156^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928222807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 541987 + ... + 549186.

Almost surely, 2^3928222800 is an apocalyptic number.

3928222800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3928222800 is an abundant number, since it is smaller than the sum of its proper divisors (9703813982).

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

3928222800 is a wasteful number, since it uses less digits than its factorization.

3928222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091197 (or 1091183 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3928222800 is about 62675.5358971904. The cubic root of 3928222800 is about 1577.8487520513.

The spelling of 3928222800 in words is "three billion, nine hundred twenty-eight million, two hundred twenty-two thousand, eight hundred".