3248748360 has 288 divisors, whose sum is σ = 12500462520. Its totient is φ = 726865920.

The previous prime is 3248748353. The next prime is 3248748389. The reversal of 3248748360 is 638478423.

3248748360 is a `hidden beast` number, since 3 + 248 + 7 + 48 + 360 = 666.

3248748360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 933791364 + 2314956996 = 30558^2 + 48114^2 .

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

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, 563412 + ... + 569148.

Almost surely, 2^3248748360 is an apocalyptic number.

3248748360 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 3248748360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250231260).

3248748360 is an abundant number, since it is smaller than the sum of its proper divisors (9251714160).

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

3248748360 is a wasteful number, since it uses less digits than its factorization.

3248748360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3248748360 is about 56997.7925888363. The cubic root of 3248748360 is about 1481.0578570403.

The spelling of 3248748360 in words is "three billion, two hundred forty-eight million, seven hundred forty-eight thousand, three hundred sixty".