3831284401600 has 84 divisors (see below), whose sum is σ = 9429098874048. Its totient is φ = 1532230144000.

The previous prime is 3831284401597. The next prime is 3831284401691. The reversal of 3831284401600 is 61044821383.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8534760 + ... + 8972440.

It is an arithmetic number, because the mean of its divisors is an integer number (112251177072).

Almost surely, 2^{3831284401600} is an apocalyptic number.

It is an amenable number.

3831284401600 is an abundant number, since it is smaller than the sum of its proper divisors (5597814472448).

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

3831284401600 is a wasteful number, since it uses less digits than its factorization.

3831284401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443174 (or 443159 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 3831284401600 in words is "three trillion, eight hundred thirty-one billion, two hundred eighty-four million, four hundred one thousand, six hundred".