3682324800 has 1176 divisors, whose sum is σ = 17350264512. Its totient is φ = 746496000.

The previous prime is 3682324799. The next prime is 3682324819. The reversal of 3682324800 is 84232863.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 89812780 + ... + 89812820.

Almost surely, 2^3682324800 is an apocalyptic number.

3682324800 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 3682324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675132256).

3682324800 is an abundant number, since it is smaller than the sum of its proper divisors (13667939712).

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

3682324800 is a wasteful number, since it uses less digits than its factorization.

3682324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3682324800 is about 60682.1621236422. The cubic root of 3682324800 is about 1544.2135690327.

The spelling of 3682324800 in words is "three billion, six hundred eighty-two million, three hundred twenty-four thousand, eight hundred".