385678720 has 256 divisors, whose sum is σ = 1163289600. Its totient is φ = 119218176.

The previous prime is 385678691. The next prime is 385678753. The reversal of 385678720 is 27876583.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957662 + ... + 1957858.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^385678720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

385678720 is an abundant number, since it is smaller than the sum of its proper divisors (777610880).

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

385678720 is a wasteful number, since it uses less digits than its factorization.

385678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 385678720 is about 19638.7046416000. The cubic root of 385678720 is about 727.9058768141.

The spelling of 385678720 in words is "three hundred eighty-five million, six hundred seventy-eight thousand, seven hundred twenty".