385015873536 has 608 divisors, whose sum is σ = 1375729088000. Its totient is φ = 103960018944.

The previous prime is 385015873513. The next prime is 385015873549. The reversal of 385015873536 is 635378510583.

385015873536 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 1 + 587 + 3 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941358900 + ... + 941359308.

Almost surely, 2^385015873536 is an apocalyptic number.

385015873536 is a gapful number since it is divisible by the number (36) 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 385015873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687864544000).

385015873536 is an abundant number, since it is smaller than the sum of its proper divisors (990713214464).

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

385015873536 is an frugal number, since it uses more digits than its factorization.

385015873536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 385015873536 in words is "three hundred eighty-five billion, fifteen million, eight hundred seventy-three thousand, five hundred thirty-six".