3863472076800 has 1152 divisors, whose sum is σ = 16328254924800. Its totient is φ = 877109575680.

The previous prime is 3863472076727. The next prime is 3863472076813. The reversal of 3863472076800 is 86702743683.

3863472076800 is a `hidden beast` number, since 38 + 6 + 347 + 207 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1519256329 + ... + 1519258871.

It is an arithmetic number, because the mean of its divisors is an integer number (14173832400).

Almost surely, 2^{3863472076800} is an apocalyptic number.

3863472076800 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 3863472076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164127462400).

3863472076800 is an abundant number, since it is smaller than the sum of its proper divisors (12464782848000).

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

3863472076800 is a wasteful number, since it uses less digits than its factorization.

3863472076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3863472076800 in words is "three trillion, eight hundred sixty-three billion, four hundred seventy-two million, seventy-six thousand, eight hundred".