386133806000 has 80 divisors (see below), whose sum is σ = 934503997440. Its totient is φ = 154315814400.

The previous prime is 386133805999. The next prime is 386133806021. The reversal of 386133806000 is 608331683.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×386133806000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172497 + ... + 2343503.

It is an arithmetic number, because the mean of its divisors is an integer number (11681299968).

Almost surely, 2^386133806000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386133806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467251998720).

386133806000 is an abundant number, since it is smaller than the sum of its proper divisors (548370191440).

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

386133806000 is a wasteful number, since it uses less digits than its factorization.

386133806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172159 (or 172143 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 386133806000 in words is "three hundred eighty-six billion, one hundred thirty-three million, eight hundred six thousand".