385015680 has 320 divisors, whose sum is σ = 1572864480. Its totient is φ = 87920640.

The previous prime is 385015649. The next prime is 385015693. The reversal of 385015680 is 86510583.

385015680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362350 + ... + 363410.

Almost surely, 2^385015680 is an apocalyptic number.

385015680 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 385015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786432240).

385015680 is an abundant number, since it is smaller than the sum of its proper divisors (1187848800).

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

385015680 is a wasteful number, since it uses less digits than its factorization.

385015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 385015680 is about 19621.8164296785. The cubic root of 385015680 is about 727.4885108187.

The spelling of 385015680 in words is "three hundred eighty-five million, fifteen thousand, six hundred eighty".