381777984 has 84 divisors (see below), whose sum is σ = 1250639104. Its totient is φ = 109078272.

The previous prime is 381777973. The next prime is 381777997. The reversal of 381777984 is 489777183.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 381777984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43312 + ... + 51375.

Almost surely, 2^381777984 is an apocalyptic number.

It is an amenable number.

381777984 is an abundant number, since it is smaller than the sum of its proper divisors (868861120).

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

381777984 is a wasteful number, since it uses less digits than its factorization.

381777984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94712 (or 94699 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 381777984 is about 19539.1397968283. The cubic root of 381777984 is about 725.4435551332.

The spelling of 381777984 in words is "three hundred eighty-one million, seven hundred seventy-seven thousand, nine hundred eighty-four".