383541840 has 240 divisors, whose sum is σ = 1425265920. Its totient is φ = 91653120.

The previous prime is 383541817. The next prime is 383541853. The reversal of 383541840 is 48145383.

383541840 is a `hidden beast` number, since 38 + 3 + 541 + 84 + 0 = 666.

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 = 383541795 and 383541804.

It is a congruent number.

It is an unprimeable number.

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, 625374 + ... + 625986.

It is an arithmetic number, because the mean of its divisors is an integer number (5938608).

Almost surely, 2^383541840 is an apocalyptic number.

383541840 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 383541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712632960).

383541840 is an abundant number, since it is smaller than the sum of its proper divisors (1041724080).

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

383541840 is a wasteful number, since it uses less digits than its factorization.

383541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 383541840 is about 19584.2242634218. The cubic root of 383541840 is about 726.5590484886.

The spelling of 383541840 in words is "three hundred eighty-three million, five hundred forty-one thousand, eight hundred forty".