3649996800 has 324 divisors, whose sum is σ = 13220433135. Its totient is φ = 962396160.

The previous prime is 3649996783. The next prime is 3649996817. The reversal of 3649996800 is 86999463.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3649996783) and next prime (3649996817).

It can be written as a sum of positive squares in 5 ways, for example, as 343286784 + 3306710016 = 18528^2 + 57504^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=42720.

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 26 ways as a sum of consecutive naturals, for example, 41011156 + ... + 41011244.

Almost surely, 2^3649996800 is an apocalyptic number.

3649996800 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 3649996800

3649996800 is an abundant number, since it is smaller than the sum of its proper divisors (9570436335).

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

3649996800 is an equidigital number, since it uses as much as digits as its factorization.

3649996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3649996800 is about 60415.2033845786. The cubic root of 3649996800 is about 1539.6812743443.

The spelling of 3649996800 in words is "three billion, six hundred forty-nine million, nine hundred ninety-six thousand, eight hundred".