385650720 has 576 divisors, whose sum is σ = 1695133440. Its totient is φ = 80621568.

The previous prime is 385650709. The next prime is 385650721. The reversal of 385650720 is 27056583.

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

It is not an unprimeable number, because it can be changed into a prime (385650721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538026 + ... + 3538134.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^385650720 is an apocalyptic number.

385650720 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 385650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847566720).

385650720 is an abundant number, since it is smaller than the sum of its proper divisors (1309482720).

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

385650720 is a wasteful number, since it uses less digits than its factorization.

385650720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 385650720 is about 19637.9917506857. The cubic root of 385650720 is about 727.8882612387. Note that the first 3 decimals are identical.

The spelling of 385650720 in words is "three hundred eighty-five million, six hundred fifty thousand, seven hundred twenty".