3680009625600 has 3360 divisors, whose sum is σ = 17651162681856. Its totient is φ = 735746457600.

The previous prime is 3680009625583. The next prime is 3680009625601. The reversal of 3680009625600 is 65269000863.

It is a happy number.

3680009625600 is a `hidden beast` number, since 3 + 6 + 80 + 0 + 0 + 9 + 6 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is not an unprimeable number, because it can be changed into a prime (3680009625601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54925516767 + ... + 54925516833.

Almost surely, 2^{3680009625600} is an apocalyptic number.

3680009625600 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 3680009625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825581340928).

3680009625600 is an abundant number, since it is smaller than the sum of its proper divisors (13971153056256).

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

3680009625600 is a wasteful number, since it uses less digits than its factorization.

3680009625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3680009625600 in words is "three trillion, six hundred eighty billion, nine million, six hundred twenty-five thousand, six hundred".