384025536 has 98 divisors (see below), whose sum is σ = 1142692152. Its totient is φ = 127992960.

The previous prime is 384025519. The next prime is 384025589. The reversal of 384025536 is 635520483.

It is a happy number.

It is a super-2 number, since 2×384025536² = 294951224600174592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 384025536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 42541 + ... + 50771.

It is an arithmetic number, because the mean of its divisors is an integer number (11660124).

Almost surely, 2^384025536 is an apocalyptic number.

384025536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571346076).

384025536 is an abundant number, since it is smaller than the sum of its proper divisors (758666616).

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

384025536 is an frugal number, since it uses more digits than its factorization.

384025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 384025536 is about 19596.5694957051. The cubic root of 384025536 is about 726.8643485783.

The spelling of 384025536 in words is "three hundred eighty-four million, twenty-five thousand, five hundred thirty-six".