3990355200 has 486 divisors, whose sum is σ = 15577183986. Its totient is φ = 968785920.

The previous prime is 3990355189. The next prime is 3990355207. The reversal of 3990355200 is 25530993.

It can be written as a sum of positive squares in 9 ways, for example, as 1507924224 + 2482430976 = 38832^2 + 49824^2 .

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 (3990355207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54662364 + ... + 54662436.

Almost surely, 2^3990355200 is an apocalyptic number.

3990355200 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 3990355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788591993).

3990355200 is an abundant number, since it is smaller than the sum of its proper divisors (11586828786).

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

3990355200 is a wasteful number, since it uses less digits than its factorization.

3990355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 3990355200 is about 63169.2583461291. The cubic root of 3990355200 is about 1586.1241780126.

The spelling of 3990355200 in words is "three billion, nine hundred ninety million, three hundred fifty-five thousand, two hundred".