3928222200 has 288 divisors, whose sum is σ = 14438651760. Its totient is φ = 880588800.

The previous prime is 3928222171. The next prime is 3928222201. The reversal of 3928222200 is 22228293.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928222201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1556940 + ... + 1559460.

Almost surely, 2^3928222200 is an apocalyptic number.

3928222200 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 3928222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219325880).

3928222200 is an abundant number, since it is smaller than the sum of its proper divisors (10510429560).

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

3928222200 is a wasteful number, since it uses less digits than its factorization.

3928222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3928222200 is about 62675.5311106336. The cubic root of 3928222200 is about 1577.8486717173.

It can be divided in two parts, 3928 and 222200, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 3928222200 in words is "three billion, nine hundred twenty-eight million, two hundred twenty-two thousand, two hundred".