3680304225600 has 336 divisors, whose sum is σ = 13262577569280. Its totient is φ = 889336166400.

The previous prime is 3680304225583. The next prime is 3680304225613. The reversal of 3680304225600 is 65224030863.

It is a happy number.

3680304225600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220335 + ... + 2974865.

Almost surely, 2^{3680304225600} is an apocalyptic number.

3680304225600 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 3680304225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631288784640).

3680304225600 is an abundant number, since it is smaller than the sum of its proper divisors (9582273343680).

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

3680304225600 is a wasteful number, since it uses less digits than its factorization.

3680304225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754598 (or 1754583 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 3680304225600 in words is "three trillion, six hundred eighty billion, three hundred four million, two hundred twenty-five thousand, six hundred".