382225536 has 384 divisors, whose sum is σ = 1425715200. Its totient is φ = 95385600.

The previous prime is 382225471. The next prime is 382225579. The reversal of 382225536 is 635522283.

382225536 is a `hidden beast` number, since 3 + 82 + 22 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 382225536.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749755 + ... + 2749893.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^382225536 is an apocalyptic number.

382225536 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 382225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712857600).

382225536 is an abundant number, since it is smaller than the sum of its proper divisors (1043489664).

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

382225536 is a wasteful number, since it uses less digits than its factorization.

382225536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

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

The square root of 382225536 is about 19550.5891471331. The cubic root of 382225536 is about 725.7269195844.

The spelling of 382225536 in words is "three hundred eighty-two million, two hundred twenty-five thousand, five hundred thirty-six".