3840381679800 has 48 divisors (see below), whose sum is σ = 11905183209240. Its totient is φ = 1024101781120.

The previous prime is 3840381679787. The next prime is 3840381679843. The reversal of 3840381679800 is 89761830483.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3200317467 + ... + 3200318666.

Almost surely, 2^{3840381679800} is an apocalyptic number.

3840381679800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3840381679800 is an abundant number, since it is smaller than the sum of its proper divisors (8064801529440).

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

3840381679800 is a wasteful number, since it uses less digits than its factorization.

3840381679800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400636152 (or 6400636143 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 3840381679800 in words is "three trillion, eight hundred forty billion, three hundred eighty-one million, six hundred seventy-nine thousand, eight hundred".