3866835772800 has 2304 divisors, whose sum is σ = 18705347781120. Its totient is φ = 734507827200.

The previous prime is 3866835772727. The next prime is 3866835772843. The reversal of 3866835772800 is 82775386683.

It is a happy number.

3866835772800 is a `hidden beast` number, since 3 + 86 + 68 + 357 + 72 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3257653807 + ... + 3257654993.

It is an arithmetic number, because the mean of its divisors is an integer number (8118640530).

Almost surely, 2^{3866835772800} is an apocalyptic number.

3866835772800 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 3866835772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352673890560).

3866835772800 is an abundant number, since it is smaller than the sum of its proper divisors (14838512008320).

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

3866835772800 is a wasteful number, since it uses less digits than its factorization.

3866835772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3866835772800 in words is "three trillion, eight hundred sixty-six billion, eight hundred thirty-five million, seven hundred seventy-two thousand, eight hundred".