385008577920 has 512 divisors, whose sum is σ = 1414285488000. Its totient is φ = 100149903360.

The previous prime is 385008577813. The next prime is 385008577939. The reversal of 385008577920 is 29775800583.

385008577920 is a `hidden beast` number, since 38 + 500 + 85 + 7 + 7 + 9 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 57383526 + ... + 57390234.

Almost surely, 2^385008577920 is an apocalyptic number.

385008577920 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 385008577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707142744000).

385008577920 is an abundant number, since it is smaller than the sum of its proper divisors (1029276910080).

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

385008577920 is an frugal number, since it uses more digits than its factorization.

385008577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 385008577920 in words is "three hundred eighty-five billion, eight million, five hundred seventy-seven thousand, nine hundred twenty".