386786389248000 has 2304 divisors, whose sum is σ = 1749559331520000. Its totient is φ = 83206235750400.

The previous prime is 386786389247939. The next prime is 386786389248047. The reversal of 386786389248000 is 842983687683.

It is a happy number.

386786389248000 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 8 + 63 + 89 + 2 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 386786389248000.

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, 7402725876 + ... + 7402778124.

It is an arithmetic number, because the mean of its divisors is an integer number (759357348750).

Almost surely, 2^{386786389248000} is an apocalyptic number.

386786389248000 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 386786389248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874779665760000).

386786389248000 is an abundant number, since it is smaller than the sum of its proper divisors (1362772942272000).

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

386786389248000 is an equidigital number, since it uses as much as digits as its factorization.

386786389248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52325 (or 52283 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 386786389248000 in words is "three hundred eighty-six trillion, seven hundred eighty-six billion, three hundred eighty-nine million, two hundred forty-eight thousand".