385689600 has 432 divisors, whose sum is σ = 1478655360. Its totient is φ = 99532800.

The previous prime is 385689581. The next prime is 385689611. The reversal of 385689600 is 6986583.

385689600 is a `hidden beast` number, since 38 + 5 + 6 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441585 + ... + 12441615.

Almost surely, 2^385689600 is an apocalyptic number.

385689600 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 385689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739327680).

385689600 is an abundant number, since it is smaller than the sum of its proper divisors (1092965760).

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

385689600 is an equidigital number, since it uses as much as digits as its factorization.

385689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 385689600 is about 19638.9816436596. The cubic root of 385689600 is about 727.9127214935.

The spelling of 385689600 in words is "three hundred eighty-five million, six hundred eighty-nine thousand, six hundred".