384626088 has 432 divisors, whose sum is σ = 1436902740. Its totient is φ = 92252160.

The previous prime is 384626069. The next prime is 384626089. The reversal of 384626088 is 880626483.

It is a happy number.

384626088 is a `hidden beast` number, since 38 + 4 + 6 + 2 + 608 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 358799364 + 25826724 = 18942^2 + 5082^2 .

It is not an unprimeable number, because it can be changed into a prime (384626089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7257070 + ... + 7257122.

Almost surely, 2^384626088 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 384626088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718451370).

384626088 is an abundant number, since it is smaller than the sum of its proper divisors (1052276652).

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

384626088 is a wasteful number, since it uses less digits than its factorization.

384626088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 384626088 is about 19611.8863957550. The cubic root of 384626088 is about 727.2430495124.

The spelling of 384626088 in words is "three hundred eighty-four million, six hundred twenty-six thousand, eighty-eight".