3728450880 has 1344 divisors, whose sum is σ = 18076151808. Its totient is φ = 681246720.

The previous prime is 3728450861. The next prime is 3728450909. The reversal of 3728450880 is 880548273.

3728450880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86708139 + ... + 86708181.

Almost surely, 2^3728450880 is an apocalyptic number.

3728450880 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 3728450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9038075904).

3728450880 is an abundant number, since it is smaller than the sum of its proper divisors (14347700928).

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

3728450880 is a wasteful number, since it uses less digits than its factorization.

3728450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3728450880 is about 61061.0422446260. The cubic root of 3728450880 is about 1550.6346176906.

The spelling of 3728450880 in words is "three billion, seven hundred twenty-eight million, four hundred fifty thousand, eight hundred eighty".