3348280728 has 192 divisors, whose sum is σ = 10013421600. Its totient is φ = 1010430720.

The previous prime is 3348280717. The next prime is 3348280751. The reversal of 3348280728 is 8270828433.

3348280728 is a `hidden beast` number, since 3 + 348 + 280 + 7 + 28 = 666.

3348280728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3348280728³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9649051 + ... + 9649397.

Almost surely, 2^3348280728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348280728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006710800).

3348280728 is an abundant number, since it is smaller than the sum of its proper divisors (6665140872).

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

3348280728 is a wasteful number, since it uses less digits than its factorization.

3348280728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 426 counting only the distinct ones).

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

The square root of 3348280728 is about 57864.3303599031. The cubic root of 3348280728 is about 1496.0310971354.

The spelling of 3348280728 in words is "three billion, three hundred forty-eight million, two hundred eighty thousand, seven hundred twenty-eight".