3864636331920 has 1280 divisors, whose sum is σ = 16853401313280. Its totient is φ = 792305639424.

The previous prime is 3864636331901. The next prime is 3864636331931. The reversal of 3864636331920 is 291336364683.

It is a happy number.

3864636331920 is a `hidden beast` number, since 3 + 8 + 6 + 463 + 63 + 31 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1114690027 + ... + 1114693493.

It is an arithmetic number, because the mean of its divisors is an integer number (13166719776).

Almost surely, 2^{3864636331920} is an apocalyptic number.

3864636331920 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 3864636331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426700656640).

3864636331920 is an abundant number, since it is smaller than the sum of its proper divisors (12988764981360).

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

3864636331920 is a wasteful number, since it uses less digits than its factorization.

3864636331920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 3864636331920 in words is "three trillion, eight hundred sixty-four billion, six hundred thirty-six million, three hundred thirty-one thousand, nine hundred twenty".