3416182728 has 64 divisors (see below), whose sum is σ = 9819048960. Its totient is φ = 970199616.

The previous prime is 3416182703. The next prime is 3416182739. The reversal of 3416182728 is 8272816143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3416182728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32826 + ... + 88937.

It is an arithmetic number, because the mean of its divisors is an integer number (153422640).

Almost surely, 2^3416182728 is an apocalyptic number.

It is an amenable number.

3416182728 is an abundant number, since it is smaller than the sum of its proper divisors (6402866232).

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

3416182728 is a wasteful number, since it uses less digits than its factorization.

3416182728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121946 (or 121942 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 3416182728 is about 58448.1199697646. The cubic root of 3416182728 is about 1506.0764957820.

The spelling of 3416182728 in words is "three billion, four hundred sixteen million, one hundred eighty-two thousand, seven hundred twenty-eight".