3416172084 has 180 divisors, whose sum is σ = 9792963180. Its totient is φ = 1037836800.

The previous prime is 3416172077. The next prime is 3416172101. The reversal of 3416172084 is 4802716143.

3416172084 is a `hidden beast` number, since 34 + 1 + 617 + 2 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 410062500 + 3006109584 = 20250^2 + 54828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4872934 + ... + 4873634.

It is an arithmetic number, because the mean of its divisors is an integer number (54405351).

Almost surely, 2^3416172084 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 3416172084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896481590).

3416172084 is an abundant number, since it is smaller than the sum of its proper divisors (6376791096).

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

3416172084 is a wasteful number, since it uses less digits than its factorization.

3416172084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3416172084 is about 58448.0289145836. The cubic root of 3416172084 is about 1506.0749315902.

The spelling of 3416172084 in words is "three billion, four hundred sixteen million, one hundred seventy-two thousand, eighty-four".