3683388672 has 108 divisors (see below), whose sum is σ = 10682661444. Its totient is φ = 1220567040.

The previous prime is 3683388671. The next prime is 3683388719. The reversal of 3683388672 is 2768833863.

It can be written as a sum of positive squares in 2 ways, for example, as 3531211776 + 152176896 = 59424^2 + 12336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683388671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393972 + ... + 403212.

Almost surely, 2^3683388672 is an apocalyptic number.

3683388672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3683388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341330722).

3683388672 is an abundant number, since it is smaller than the sum of its proper divisors (6999272772).

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

3683388672 is a wasteful number, since it uses less digits than its factorization.

3683388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9419 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3683388672 is about 60690.9274274170. The cubic root of 3683388672 is about 1544.3622692406.

The spelling of 3683388672 in words is "three billion, six hundred eighty-three million, three hundred eighty-eight thousand, six hundred seventy-two".