3488728320 has 1440 divisors, whose sum is σ = 17095034880. Its totient is φ = 656916480.

The previous prime is 3488728319. The next prime is 3488728337. The reversal of 3488728320 is 238278843.

3488728320 is a `hidden beast` number, since 3 + 488 + 72 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 151683829 + ... + 151683851.

It is an arithmetic number, because the mean of its divisors is an integer number (11871552).

Almost surely, 2^3488728320 is an apocalyptic number.

3488728320 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 3488728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547517440).

3488728320 is an abundant number, since it is smaller than the sum of its proper divisors (13606306560).

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

3488728320 is a wasteful number, since it uses less digits than its factorization.

3488728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3488728320 is about 59065.4579259316. The cubic root of 3488728320 is about 1516.6628541277.

The spelling of 3488728320 in words is "three billion, four hundred eighty-eight million, seven hundred twenty-eight thousand, three hundred twenty".