383685120 has 640 divisors, whose sum is σ = 1704890880. Its totient is φ = 79626240.

The previous prime is 383685101. The next prime is 383685131. The reversal of 383685120 is 21586383.

383685120 is a `hidden beast` number, since 3 + 83 + 68 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289890 + ... + 6289950.

It is an arithmetic number, because the mean of its divisors is an integer number (2663892).

Almost surely, 2^383685120 is an apocalyptic number.

383685120 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 383685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852445440).

383685120 is an abundant number, since it is smaller than the sum of its proper divisors (1321205760).

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

383685120 is a wasteful number, since it uses less digits than its factorization.

383685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 383685120 is about 19587.8819681966. The cubic root of 383685120 is about 726.6495109530.

The spelling of 383685120 in words is "three hundred eighty-three million, six hundred eighty-five thousand, one hundred twenty".