382371840 has 240 divisors, whose sum is σ = 1373512140. Its totient is φ = 101744640.

The previous prime is 382371833. The next prime is 382371853. The reversal of 382371840 is 48173283.

It can be written as a sum of positive squares in 2 ways, for example, as 372335616 + 10036224 = 19296^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 382371795 and 382371804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829210 + ... + 829670.

Almost surely, 2^382371840 is an apocalyptic number.

382371840 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 382371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686756070).

382371840 is an abundant number, since it is smaller than the sum of its proper divisors (991140300).

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

382371840 is an equidigital number, since it uses as much as digits as its factorization.

382371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 382371840 is about 19554.3304666767. The cubic root of 382371840 is about 725.8195029739.

The spelling of 382371840 in words is "three hundred eighty-two million, three hundred seventy-one thousand, eight hundred forty".