3728624448 has 112 divisors (see below), whose sum is σ = 10719856640. Its totient is φ = 1139443200.

The previous prime is 3728624413. The next prime is 3728624489. The reversal of 3728624448 is 8444268273.

3728624448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3728624397 and 3728624406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96603 + ... + 129573.

Almost surely, 2^3728624448 is an apocalyptic number.

3728624448 is a gapful number since it is divisible by the number (38) 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 3728624448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359928320).

3728624448 is an abundant number, since it is smaller than the sum of its proper divisors (6991232192).

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

3728624448 is a wasteful number, since it uses less digits than its factorization.

3728624448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33036 (or 33026 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 3728624448 is about 61062.4634943596. The cubic root of 3728624448 is about 1550.6586791916.

The spelling of 3728624448 in words is "three billion, seven hundred twenty-eight million, six hundred twenty-four thousand, four hundred forty-eight".