40008384 has 168 divisors, whose sum is σ = 128290320. Its totient is φ = 12220416.

The previous prime is 40008337. The next prime is 40008403. The reversal of 40008384 is 48380004.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 291964 + ... + 292100.

Almost surely, 2^40008384 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 40008384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64145160).

40008384 is an abundant number, since it is smaller than the sum of its proper divisors (88281936).

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

40008384 is a wasteful number, since it uses less digits than its factorization.

40008384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40008384 is about 6325.2180990065. The cubic root of 40008384 is about 342.0190817300.

Adding to 40008384 its reverse (48380004), we get a palindrome (88388388).

The spelling of 40008384 in words is "forty million, eight thousand, three hundred eighty-four".