385904883840 has 1536 divisors, whose sum is σ = 1619675136000. Its totient is φ = 76175769600.

The previous prime is 385904883797. The next prime is 385904883851. The reversal of 385904883840 is 48388409583.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9412314220 + ... + 9412314260.

It is an arithmetic number, because the mean of its divisors is an integer number (1054476000).

Almost surely, 2^385904883840 is an apocalyptic number.

385904883840 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 385904883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809837568000).

385904883840 is an abundant number, since it is smaller than the sum of its proper divisors (1233770252160).

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

385904883840 is a wasteful number, since it uses less digits than its factorization.

385904883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 385904883840 in words is "three hundred eighty-five billion, nine hundred four million, eight hundred eighty-three thousand, eight hundred forty".