3128983200 has 540 divisors, whose sum is σ = 12942855198. Its totient is φ = 711244800.

The previous prime is 3128983199. The next prime is 3128983271. The reversal of 3128983200 is 23898213.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1286513424 + 1842469776 = 35868^2 + 42924^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17287110 + ... + 17287290.

Almost surely, 2^3128983200 is an apocalyptic number.

3128983200 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 3128983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471427599).

3128983200 is an abundant number, since it is smaller than the sum of its proper divisors (9813871998).

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

3128983200 is a wasteful number, since it uses less digits than its factorization.

3128983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3128983200 is about 55937.3149158949. The cubic root of 3128983200 is about 1462.6297759045.

The spelling of 3128983200 in words is "three billion, one hundred twenty-eight million, nine hundred eighty-three thousand, two hundred".