3828433687200 has 216 divisors, whose sum is σ = 14294133234108. Its totient is φ = 960861757440.

The previous prime is 3828433687139. The next prime is 3828433687223. The reversal of 3828433687200 is 27863348283.

3828433687200 is a `hidden beast` number, since 3 + 8 + 28 + 4 + 336 + 87 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 669012756624 + 3159420930576 = 817932^2 + 1777476^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15516627 + ... + 15761426.

Almost surely, 2^{3828433687200} is an apocalyptic number.

3828433687200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3828433687200 is an abundant number, since it is smaller than the sum of its proper divisors (10465699546908).

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

3828433687200 is a wasteful number, since it uses less digits than its factorization.

3828433687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31278096 (or 31278080 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3828433687200 in words is "three trillion, eight hundred twenty-eight billion, four hundred thirty-three million, six hundred eighty-seven thousand, two hundred".