385938432000 has 1568 divisors, whose sum is σ = 1609017156864. Its totient is φ = 91570176000.

The previous prime is 385938431981. The next prime is 385938432043. The reversal of 385938432000 is 234839583.

385938432000 is a `hidden beast` number, since 38 + 593 + 8 + 4 + 3 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8211455977 + ... + 8211456023.

Almost surely, 2^385938432000 is an apocalyptic number.

385938432000 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 385938432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804508578432).

385938432000 is an abundant number, since it is smaller than the sum of its proper divisors (1223078724864).

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

385938432000 is an frugal number, since it uses more digits than its factorization.

385938432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 385938432000 in words is "three hundred eighty-five billion, nine hundred thirty-eight million, four hundred thirty-two thousand".