3683520000 has 300 divisors, whose sum is σ = 13294744320. Its totient is φ = 981504000.

The previous prime is 3683519971. The next prime is 3683520011. The reversal of 3683520000 is 253863.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879361 + ... + 2880639.

Almost surely, 2^3683520000 is an apocalyptic number.

3683520000 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 3683520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647372160).

3683520000 is an abundant number, since it is smaller than the sum of its proper divisors (9611224320).

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

3683520000 is an equidigital number, since it uses as much as digits as its factorization.

3683520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3683520000 is about 60692.0093587286. The cubic root of 3683520000 is about 1544.3806233176.

Adding to 3683520000 its reverse (253863), we get a palindrome (3683773863).

The spelling of 3683520000 in words is "three billion, six hundred eighty-three million, five hundred twenty thousand".