385732080 has 120 divisors (see below), whose sum is σ = 1351797408. Its totient is φ = 98385408.

The previous prime is 385732063. The next prime is 385732099. The reversal of 385732080 is 80237583.

385732080 is a `hidden beast` number, since 3 + 8 + 573 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×385732080² = 297578475082252800, which contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914 + ... + 28206.

Almost surely, 2^385732080 is an apocalyptic number.

385732080 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 385732080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675898704).

385732080 is an abundant number, since it is smaller than the sum of its proper divisors (966065328).

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

385732080 is a wasteful number, since it uses less digits than its factorization.

385732080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23335 (or 23326 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 385732080 is about 19640.0631363547. The cubic root of 385732080 is about 727.9394447075.

It can be divided in two parts, 3857 and 32080, that added together give a cube (35937 = 33³).

The spelling of 385732080 in words is "three hundred eighty-five million, seven hundred thirty-two thousand, eighty".