3416279328 has 240 divisors, whose sum is σ = 12527089344. Its totient is φ = 887293440.

The previous prime is 3416279327. The next prime is 3416279333. The reversal of 3416279328 is 8239726143.

3416279328 is a `hidden beast` number, since 341 + 6 + 279 + 32 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3416279327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191026 + ... + 208142.

Almost surely, 2^3416279328 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 3416279328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263544672).

3416279328 is an abundant number, since it is smaller than the sum of its proper divisors (9110810016).

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

3416279328 is a wasteful number, since it uses less digits than its factorization.

3416279328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17140 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3416279328 is about 58448.9463378083. The cubic root of 3416279328 is about 1506.0906915115.

The spelling of 3416279328 in words is "three billion, four hundred sixteen million, two hundred seventy-nine thousand, three hundred twenty-eight".