385761600 has 504 divisors, whose sum is σ = 1621414080. Its totient is φ = 85155840.

The previous prime is 385761587. The next prime is 385761619. The reversal of 385761600 is 6167583.

385761600 is a `hidden beast` number, since 38 + 5 + 7 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4334356 + ... + 4334444.

Almost surely, 2^385761600 is an apocalyptic number.

385761600 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 385761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810707040).

385761600 is an abundant number, since it is smaller than the sum of its proper divisors (1235652480).

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

385761600 is a wasteful number, since it uses less digits than its factorization.

385761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 385761600 is about 19640.8146470558. The cubic root of 385761600 is about 727.9580139212.

The spelling of 385761600 in words is "three hundred eighty-five million, seven hundred sixty-one thousand, six hundred".