385321860 has 240 divisors, whose sum is σ = 1507524480. Its totient is φ = 80040960.

The previous prime is 385321837. The next prime is 385321877. The reversal of 385321860 is 68123583.

385321860 is a `hidden beast` number, since 385 + 3 + 218 + 60 = 666.

It is a super-3 number, since 3×385321860³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 123196 + ... + 126284.

It is an arithmetic number, because the mean of its divisors is an integer number (6281352).

Almost surely, 2^385321860 is an apocalyptic number.

385321860 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 385321860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753762240).

385321860 is an abundant number, since it is smaller than the sum of its proper divisors (1122202620).

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

385321860 is a wasteful number, since it uses less digits than its factorization.

385321860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 385321860 is about 19629.6169091503. The cubic root of 385321860 is about 727.6813024592.

The spelling of 385321860 in words is "three hundred eighty-five million, three hundred twenty-one thousand, eight hundred sixty".