30385600 has 84 divisors (see below), whose sum is σ = 85480144. Its totient is φ = 10414080.

The previous prime is 30385583. The next prime is 30385601. The reversal of 30385600 is 658303.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30385601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9844 + ... + 12556.

Almost surely, 2^30385600 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 30385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42740072).

30385600 is an abundant number, since it is smaller than the sum of its proper divisors (55094544).

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

30385600 is a wasteful number, since it uses less digits than its factorization.

30385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 30385600 is about 5512.3134889083. The cubic root of 30385600 is about 312.0488637034.

The spelling of 30385600 in words is "thirty million, three hundred eighty-five thousand, six hundred".