3680976960 has 560 divisors, whose sum is σ = 13940942400. Its totient is φ = 920457216.

The previous prime is 3680976919. The next prime is 3680977009. The reversal of 3680976960 is 696790863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3680976897 and 3680976906.

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 79 ways as a sum of consecutive naturals, for example, 44349079 + ... + 44349161.

It is an arithmetic number, because the mean of its divisors is an integer number (24894540).

Almost surely, 2^3680976960 is an apocalyptic number.

3680976960 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 3680976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970471200).

3680976960 is an abundant number, since it is smaller than the sum of its proper divisors (10259965440).

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

3680976960 is a wasteful number, since it uses less digits than its factorization.

3680976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3680976960 is about 60671.0553723932. The cubic root of 3680976960 is about 1544.0251367309.

The spelling of 3680976960 in words is "three billion, six hundred eighty million, nine hundred seventy-six thousand, nine hundred sixty".