385735800 has 96 divisors (see below), whose sum is σ = 1223671680. Its totient is φ = 100464000.

The previous prime is 385735799. The next prime is 385735813. The reversal of 385735800 is 8537583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18325 + ... + 33275.

It is an arithmetic number, because the mean of its divisors is an integer number (12746580).

Almost surely, 2^385735800 is an apocalyptic number.

385735800 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 385735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611835840).

385735800 is an abundant number, since it is smaller than the sum of its proper divisors (837935880).

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

385735800 is a wasteful number, since it uses less digits than its factorization.

385735800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15013 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 385735800 is about 19640.1578405063. The cubic root of 385735800 is about 727.9417847826.

The spelling of 385735800 in words is "three hundred eighty-five million, seven hundred thirty-five thousand, eight hundred".