386181378000 has 1280 divisors, whose sum is σ = 1571209436160. Its totient is φ = 89856000000.

The previous prime is 386181377987. The next prime is 386181378007. The reversal of 386181378000 is 873181683.

386181378000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386181378007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2459753922 + ... + 2459754078.

It is an arithmetic number, because the mean of its divisors is an integer number (1227507372).

Almost surely, 2^386181378000 is an apocalyptic number.

386181378000 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 386181378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785604718080).

386181378000 is an abundant number, since it is smaller than the sum of its proper divisors (1185028058160).

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

386181378000 is a wasteful number, since it uses less digits than its factorization.

386181378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 386181378000 in words is "three hundred eighty-six billion, one hundred eighty-one million, three hundred seventy-eight thousand".