3863657952000 has 1728 divisors, whose sum is σ = 17632822072320. Its totient is φ = 788963328000.

The previous prime is 3863657951969. The next prime is 3863657952101. The reversal of 3863657952000 is 2597563683.

It is a happy number.

3863657952000 is a `hidden beast` number, since 3 + 8 + 6 + 365 + 79 + 5 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1308382524 + ... + 1308385476.

It is an arithmetic number, because the mean of its divisors is an integer number (10204179440).

Almost surely, 2^{3863657952000} is an apocalyptic number.

3863657952000 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 3863657952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816411036160).

3863657952000 is an abundant number, since it is smaller than the sum of its proper divisors (13769164120320).

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

3863657952000 is a wasteful number, since it uses less digits than its factorization.

3863657952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3863657952000 in words is "three trillion, eight hundred sixty-three billion, six hundred fifty-seven million, nine hundred fifty-two thousand".