3661983456 has 72 divisors (see below), whose sum is σ = 10048961160. Its totient is φ = 1167572736.

The previous prime is 3661983443. The next prime is 3661983463. The reversal of 3661983456 is 6543891663.

It is a happy number.

3661983456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3661983399 and 3661983408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14730 + ... + 86838.

It is an arithmetic number, because the mean of its divisors is an integer number (139568905).

Almost surely, 2^3661983456 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 3661983456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024480580).

3661983456 is an abundant number, since it is smaller than the sum of its proper divisors (6386977704).

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

3661983456 is a wasteful number, since it uses less digits than its factorization.

3661983456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72168 (or 72137 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 3661983456 is about 60514.3243868755. The cubic root of 3661983456 is about 1541.3648798102.

The spelling of 3661983456 in words is "three billion, six hundred sixty-one million, nine hundred eighty-three thousand, four hundred fifty-six".