381507840 has 576 divisors, whose sum is σ = 1648281600. Its totient is φ = 81616896.

The previous prime is 381507823. The next prime is 381507899. The reversal of 381507840 is 48705183.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 381507795 and 381507804.

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 63 ways as a sum of consecutive naturals, for example, 4596439 + ... + 4596521.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2^381507840 is an apocalyptic number.

381507840 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 381507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824140800).

381507840 is an abundant number, since it is smaller than the sum of its proper divisors (1266773760).

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

381507840 is a wasteful number, since it uses less digits than its factorization.

381507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

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

The square root of 381507840 is about 19532.2256796301. The cubic root of 381507840 is about 725.2724081372.

The spelling of 381507840 in words is "three hundred eighty-one million, five hundred seven thousand, eight hundred forty".