380715840 has 168 divisors, whose sum is σ = 1319162208. Its totient is φ = 100776960.

The previous prime is 380715827. The next prime is 380715859. The reversal of 380715840 is 48517083.

380715840 is a `hidden beast` number, since 3 + 8 + 0 + 71 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 380715795 and 380715804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469035 + ... + 469845.

It is an arithmetic number, because the mean of its divisors is an integer number (7852156).

Almost surely, 2^380715840 is an apocalyptic number.

380715840 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 380715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659581104).

380715840 is an abundant number, since it is smaller than the sum of its proper divisors (938446368).

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

380715840 is a wasteful number, since it uses less digits than its factorization.

380715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 380715840 is about 19511.9409593203. The cubic root of 380715840 is about 724.7701784435.

The spelling of 380715840 in words is "three hundred eighty million, seven hundred fifteen thousand, eight hundred forty".