3886633670400 has 864 divisors, whose sum is σ = 15381109157120. Its totient is φ = 954658897920.

The previous prime is 3886633670399. The next prime is 3886633670443. The reversal of 3886633670400 is 40763366883.

3886633670400 is a `hidden beast` number, since 3 + 8 + 86 + 63 + 36 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 1228779219 + ... + 1228782381.

Almost surely, 2^{3886633670400} is an apocalyptic number.

3886633670400 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 3886633670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690554578560).

3886633670400 is an abundant number, since it is smaller than the sum of its proper divisors (11494475486720).

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

3886633670400 is a wasteful number, since it uses less digits than its factorization.

3886633670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3886633670400 in words is "three trillion, eight hundred eighty-six billion, six hundred thirty-three million, six hundred seventy thousand, four hundred".