380823840 has 288 divisors, whose sum is σ = 1415232000. Its totient is φ = 92897280.

The previous prime is 380823827. The next prime is 380823841. The reversal of 380823840 is 48328083.

It is a happy number.

380823840 is a `hidden beast` number, since 380 + 8 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×380823840² = 290053594224691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 380823795 and 380823804.

It is not an unprimeable number, because it can be changed into a prime (380823841) 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 47 ways as a sum of consecutive naturals, for example, 847936 + ... + 848384.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^380823840 is an apocalyptic number.

380823840 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 380823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

380823840 is an abundant number, since it is smaller than the sum of its proper divisors (1034408160).

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

380823840 is a wasteful number, since it uses less digits than its factorization.

380823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 380823840 is about 19514.7082991266. The cubic root of 380823840 is about 724.8387052997.

The spelling of 380823840 in words is "three hundred eighty million, eight hundred twenty-three thousand, eight hundred forty".