3682944000 has 528 divisors, whose sum is σ = 13948421760. Its totient is φ = 932659200.

The previous prime is 3682943987. The next prime is 3682944007. The reversal of 3682944000 is 4492863.

It is a happy number.

3682944000 is a `hidden beast` number, since 368 + 294 + 4 + 0 + 0 + 0 = 666.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3682944007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26495931 + ... + 26496069.

Almost surely, 2^3682944000 is an apocalyptic number.

3682944000 is a gapful number since it is divisible by the number (30) 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 3682944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974210880).

3682944000 is an abundant number, since it is smaller than the sum of its proper divisors (10265477760).

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

3682944000 is a wasteful number, since it uses less digits than its factorization.

3682944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3682944000 is about 60687.2639027333. The cubic root of 3682944000 is about 1544.3001197404.

It can be divided in two parts, 36 and 82944000, that multiplied together give a cube (2985984000 = 1440³).

The spelling of 3682944000 in words is "three billion, six hundred eighty-two million, nine hundred forty-four thousand".