385735680 has 264 divisors, whose sum is σ = 1459985904. Its totient is φ = 93388800.

The previous prime is 385735673. The next prime is 385735681. The reversal of 385735680 is 86537583.

385735680 is a `hidden beast` number, since 3 + 85 + 7 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385735681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506500 + ... + 507260.

Almost surely, 2^385735680 is an apocalyptic number.

385735680 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 385735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729992952).

385735680 is an abundant number, since it is smaller than the sum of its proper divisors (1074250224).

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

385735680 is a wasteful number, since it uses less digits than its factorization.

385735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 385735680 is about 19640.1547855408. The cubic root of 385735680 is about 727.9417092965.

It can be divided in two parts, 38573 and 5680, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 385735680 in words is "three hundred eighty-five million, seven hundred thirty-five thousand, six hundred eighty".