3681793280 has 144 divisors (see below), whose sum is σ = 9713088000. Its totient is φ = 1325998080.

The previous prime is 3681793279. The next prime is 3681793303. The reversal of 3681793280 is 823971863.

3681793280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533521 + ... + 1535919.

It is an arithmetic number, because the mean of its divisors is an integer number (67452000).

Almost surely, 2^3681793280 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 3681793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856544000).

3681793280 is an abundant number, since it is smaller than the sum of its proper divisors (6031294720).

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

3681793280 is a wasteful number, since it uses less digits than its factorization.

3681793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 3681793280 is about 60677.7824248711. The cubic root of 3681793280 is about 1544.1392663448.

The spelling of 3681793280 in words is "three billion, six hundred eighty-one million, seven hundred ninety-three thousand, two hundred eighty".