3696881664 has 104 divisors (see below), whose sum is σ = 11265573760. Its totient is φ = 1056227328.

The previous prime is 3696881663. The next prime is 3696881687. The reversal of 3696881664 is 4661886963.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696881663) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64527 + ... + 107505.

Almost surely, 2^3696881664 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 3696881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632786880).

3696881664 is an abundant number, since it is smaller than the sum of its proper divisors (7568692096).

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

3696881664 is an equidigital number, since it uses as much as digits as its factorization.

3696881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43013 (or 42991 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The square root of 3696881664 is about 60801.9873359416. The cubic root of 3696881664 is about 1546.2457409184.

The spelling of 3696881664 in words is "three billion, six hundred ninety-six million, eight hundred eighty-one thousand, six hundred sixty-four".