384893088 has 48 divisors (see below), whose sum is σ = 1012989600. Its totient is φ = 127961856.

The previous prime is 384893087. The next prime is 384893137. The reversal of 384893088 is 880398483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 384893088.

It is not an unprimeable number, because it can be changed into a prime (384893081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33063 + ... + 43161.

It is an arithmetic number, because the mean of its divisors is an integer number (21103950).

Almost surely, 2^384893088 is an apocalyptic number.

It is an amenable number.

384893088 is an abundant number, since it is smaller than the sum of its proper divisors (628096512).

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

384893088 is a wasteful number, since it uses less digits than its factorization.

384893088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 384893088 is about 19618.6923111608. The cubic root of 384893088 is about 727.4112899473.

The spelling of 384893088 in words is "three hundred eighty-four million, eight hundred ninety-three thousand, eighty-eight".