3685446890928 has 720 divisors, whose sum is σ = 12239147269440. Its totient is φ = 1030726287360.

The previous prime is 3685446890927. The next prime is 3685446890941. The reversal of 3685446890928 is 8290986445863.

It is a happy number.

3685446890928 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 446 + 8 + 90 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3685446890927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3447564378 + ... + 3447565446.

It is an arithmetic number, because the mean of its divisors is an integer number (16998815652).

Almost surely, 2^{3685446890928} 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 3685446890928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119573634720).

3685446890928 is an abundant number, since it is smaller than the sum of its proper divisors (8553700378512).

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

3685446890928 is a wasteful number, since it uses less digits than its factorization.

3685446890928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 3685446890928 in words is "three trillion, six hundred eighty-five billion, four hundred forty-six million, eight hundred ninety thousand, nine hundred twenty-eight".