386574935040 has 528 divisors, whose sum is σ = 1533835899648. Its totient is φ = 88186355712.

The previous prime is 386574935011. The next prime is 386574935041. The reversal of 386574935040 is 40539475683.

386574935040 is a `hidden beast` number, since 3 + 8 + 65 + 7 + 493 + 50 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (386574935041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239661274 + ... + 239662886.

Almost surely, 2^386574935040 is an apocalyptic number.

386574935040 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 386574935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766917949824).

386574935040 is an abundant number, since it is smaller than the sum of its proper divisors (1147260964608).

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

386574935040 is a wasteful number, since it uses less digits than its factorization.

386574935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 386574935040 in words is "three hundred eighty-six billion, five hundred seventy-four million, nine hundred thirty-five thousand, forty".