380544840 has 384 divisors, whose sum is σ = 1429908480. Its totient is φ = 87091200.

The previous prime is 380544811. The next prime is 380544841. The reversal of 380544840 is 48445083.

380544840 is a `hidden beast` number, since 38 + 0 + 544 + 84 + 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 = 380544795 and 380544804.

It is not an unprimeable number, because it can be changed into a prime (380544841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6238410 + ... + 6238470.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^380544840 is an apocalyptic number.

380544840 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 380544840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

380544840 is an abundant number, since it is smaller than the sum of its proper divisors (1049363640).

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

380544840 is a wasteful number, since it uses less digits than its factorization.

380544840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 380544840 is about 19507.5585350910. The cubic root of 380544840 is about 724.6616510787.

The spelling of 380544840 in words is "three hundred eighty million, five hundred forty-four thousand, eight hundred forty".