381757824 has 144 divisors (see below), whose sum is σ = 1278091620. Its totient is φ = 109057536.

The previous prime is 381757813. The next prime is 381757837. The reversal of 381757824 is 428757183.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 381757824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53067 + ... + 59829.

Almost surely, 2^381757824 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 381757824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639045810).

381757824 is an abundant number, since it is smaller than the sum of its proper divisors (896333796).

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

381757824 is a wasteful number, since it uses less digits than its factorization.

381757824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6775 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 381757824 is about 19538.6239024144. The cubic root of 381757824 is about 725.4307857576.

The spelling of 381757824 in words is "three hundred eighty-one million, seven hundred fifty-seven thousand, eight hundred twenty-four".