386344391040 has 640 divisors, whose sum is σ = 1419310252800. Its totient is φ = 100094496768.

The previous prime is 386344391011. The next prime is 386344391117. The reversal of 386344391040 is 40193443683.

386344391040 is a `hidden beast` number, since 3 + 8 + 634 + 4 + 3 + 9 + 1 + 0 + 4 + 0 = 666.

386344391040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 586258231 + ... + 586258889.

It is an arithmetic number, because the mean of its divisors is an integer number (2217672270).

Almost surely, 2^386344391040 is an apocalyptic number.

386344391040 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 386344391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709655126400).

386344391040 is an abundant number, since it is smaller than the sum of its proper divisors (1032965861760).

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

386344391040 is a wasteful number, since it uses less digits than its factorization.

386344391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 386344391040 in words is "three hundred eighty-six billion, three hundred forty-four million, three hundred ninety-one thousand, forty".