3683665480100 has 144 divisors (see below), whose sum is σ = 8367990664320. Its totient is φ = 1404866918400.

The previous prime is 3683665480069. The next prime is 3683665480129. The reversal of 3683665480100 is 10845663863.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 1140805286 + ... + 1140808514.

It is an arithmetic number, because the mean of its divisors is an integer number (58111046280).

Almost surely, 2^{3683665480100} 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 3683665480100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183995332160).

3683665480100 is an abundant number, since it is smaller than the sum of its proper divisors (4684325184220).

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

3683665480100 is a wasteful number, since it uses less digits than its factorization.

3683665480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 3683665480100 in words is "three trillion, six hundred eighty-three billion, six hundred sixty-five million, four hundred eighty thousand, one hundred".