384452736 has 64 divisors (see below), whose sum is σ = 1046152800. Its totient is φ = 125020160.

The previous prime is 384452713. The next prime is 384452759. The reversal of 384452736 is 637254483.

It is an interprime number because it is at equal distance from previous prime (384452713) and next prime (384452759).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 3535 + ... + 27953.

Almost surely, 2^384452736 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 384452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523076400).

384452736 is an abundant number, since it is smaller than the sum of its proper divisors (661700064).

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

384452736 is a wasteful number, since it uses less digits than its factorization.

384452736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24477 (or 24465 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 384452736 is about 19607.4663330069. The cubic root of 384452736 is about 727.1337763025.

The spelling of 384452736 in words is "three hundred eighty-four million, four hundred fifty-two thousand, seven hundred thirty-six".