3697228800 has 330 divisors, whose sum is σ = 13698081848. Its totient is φ = 985374720.

The previous prime is 3697228789. The next prime is 3697228813. The reversal of 3697228800 is 88227963.

3697228800 is a `hidden beast` number, since 369 + 7 + 2 + 288 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2072709 + ... + 2074491.

Almost surely, 2^3697228800 is an apocalyptic number.

3697228800 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 3697228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849040924).

3697228800 is an abundant number, since it is smaller than the sum of its proper divisors (10000853048).

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

3697228800 is a wasteful number, since it uses less digits than its factorization.

3697228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3697228800 is about 60804.8419124661. The cubic root of 3697228800 is about 1546.2941367297.

The spelling of 3697228800 in words is "three billion, six hundred ninety-seven million, two hundred twenty-eight thousand, eight hundred".