3680599104 has 672 divisors, whose sum is σ = 14059229184. Its totient is φ = 894136320.

The previous prime is 3680599099. The next prime is 3680599121. The reversal of 3680599104 is 4019950863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 3680599104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51839389 + ... + 51839459.

It is an arithmetic number, because the mean of its divisors is an integer number (20921472).

Almost surely, 2^3680599104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029614592).

3680599104 is an abundant number, since it is smaller than the sum of its proper divisors (10378630080).

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

3680599104 is a wasteful number, since it uses less digits than its factorization.

3680599104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3680599104 is about 60667.9413199426. The cubic root of 3680599104 is about 1543.9723030102.

The spelling of 3680599104 in words is "three billion, six hundred eighty million, five hundred ninety-nine thousand, one hundred four".