3728648880 has 360 divisors, whose sum is σ = 13913442816. Its totient is φ = 894136320.

The previous prime is 3728648867. The next prime is 3728648897. The reversal of 3728648880 is 888468273.

3728648880 is a `hidden beast` number, since 3 + 7 + 2 + 86 + 488 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11064072 + ... + 11064408.

Almost surely, 2^3728648880 is an apocalyptic number.

3728648880 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 3728648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956721408).

3728648880 is an abundant number, since it is smaller than the sum of its proper divisors (10184793936).

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

3728648880 is a wasteful number, since it uses less digits than its factorization.

3728648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 3728648880 is about 61062.6635514698. The cubic root of 3728648880 is about 1550.6620661073.

The spelling of 3728648880 in words is "three billion, seven hundred twenty-eight million, six hundred forty-eight thousand, eight hundred eighty".