3688044480 has 448 divisors, whose sum is σ = 13828654080. Its totient is φ = 923332608.

The previous prime is 3688044473. The next prime is 3688044667. The reversal of 3688044480 is 844408863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13314102 + ... + 13314378.

Almost surely, 2^3688044480 is an apocalyptic number.

3688044480 is a gapful number since it is divisible by the number (30) 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 3688044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914327040).

3688044480 is an abundant number, since it is smaller than the sum of its proper divisors (10140609600).

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

3688044480 is a wasteful number, since it uses less digits than its factorization.

3688044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3688044480 is about 60729.2720193483. The cubic root of 3688044480 is about 1545.0126872368.

The spelling of 3688044480 in words is "three billion, six hundred eighty-eight million, forty-four thousand, four hundred eighty".