3691228800 has 768 divisors, whose sum is σ = 15177600000. Its totient is φ = 785756160.

The previous prime is 3691228771. The next prime is 3691228813. The reversal of 3691228800 is 88221963.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 62563171 + ... + 62563229.

It is an arithmetic number, because the mean of its divisors is an integer number (19762500).

Almost surely, 2^3691228800 is an apocalyptic number.

3691228800 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 3691228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800000).

3691228800 is an abundant number, since it is smaller than the sum of its proper divisors (11486371200).

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

3691228800 is a wasteful number, since it uses less digits than its factorization.

3691228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 3691228800 is about 60755.4837031193. The cubic root of 3691228800 is about 1545.4572226859.

The spelling of 3691228800 in words is "three billion, six hundred ninety-one million, two hundred twenty-eight thousand, eight hundred".