3483367728 has 80 divisors (see below), whose sum is σ = 9568110816. Its totient is φ = 1088225280.

The previous prime is 3483367703. The next prime is 3483367747. The reversal of 3483367728 is 8277633843.

It is a super-3 number, since 3×3483367728³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 187800 + ... + 205512.

Almost surely, 2^3483367728 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 3483367728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784055408).

3483367728 is an abundant number, since it is smaller than the sum of its proper divisors (6084743088).

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

3483367728 is a wasteful number, since it uses less digits than its factorization.

3483367728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17982 (or 17976 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The square root of 3483367728 is about 59020.0620806180. The cubic root of 3483367728 is about 1515.8856484410.

The spelling of 3483367728 in words is "three billion, four hundred eighty-three million, three hundred sixty-seven thousand, seven hundred twenty-eight".