38686491648000 has 2240 divisors, whose sum is σ = 172069148579328. Its totient is φ = 8455245004800.

The previous prime is 38686491647971. The next prime is 38686491648001. The reversal of 38686491648000 is 84619468683.

38686491648000 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 6 + 491 + 64 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is not an unprimeable number, because it can be changed into a prime (38686491648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13353982552 + ... + 13353985448.

Almost surely, 2^{38686491648000} is an apocalyptic number.

38686491648000 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 38686491648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86034574289664).

38686491648000 is an abundant number, since it is smaller than the sum of its proper divisors (133382656931328).

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

38686491648000 is an equidigital number, since it uses as much as digits as its factorization.

38686491648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 38686491648000 in words is "thirty-eight trillion, six hundred eighty-six billion, four hundred ninety-one million, six hundred forty-eight thousand".