3879753638400 has 960 divisors, whose sum is σ = 15206652426240. Its totient is φ = 966518784000.

The previous prime is 3879753638399. The next prime is 3879753638413. The reversal of 3879753638400 is 48363579783.

3879753638400 is a `hidden beast` number, since 3 + 8 + 7 + 97 + 536 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 341792725 + ... + 341804075.

It is an arithmetic number, because the mean of its divisors is an integer number (15840262944).

Almost surely, 2^{3879753638400} is an apocalyptic number.

3879753638400 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 3879753638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603326213120).

3879753638400 is an abundant number, since it is smaller than the sum of its proper divisors (11326898787840).

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

3879753638400 is a wasteful number, since it uses less digits than its factorization.

3879753638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3879753638400 in words is "three trillion, eight hundred seventy-nine billion, seven hundred fifty-three million, six hundred thirty-eight thousand, four hundred".