381825760 has 96 divisors (see below), whose sum is σ = 971937792. Its totient is φ = 141335040.

The previous prime is 381825751. The next prime is 381825793. The reversal of 381825760 is 67528183.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112407 + ... + 115753.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^381825760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485968896).

381825760 is an abundant number, since it is smaller than the sum of its proper divisors (590112032).

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

381825760 is a wasteful number, since it uses less digits than its factorization.

381825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 381825760 is about 19540.3623303152. The cubic root of 381825760 is about 725.4738147318.

The spelling of 381825760 in words is "three hundred eighty-one million, eight hundred twenty-five thousand, seven hundred sixty".