3416167136 has 48 divisors (see below), whose sum is σ = 7144308864. Its totient is φ = 1602392064.

The previous prime is 3416167133. The next prime is 3416167151. The reversal of 3416167136 is 6317616143.

3416167136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3416167136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416167133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160241 + ... + 180303.

It is an arithmetic number, because the mean of its divisors is an integer number (148839768).

Almost surely, 2^3416167136 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 3416167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572154432).

3416167136 is an abundant number, since it is smaller than the sum of its proper divisors (3728141728).

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

3416167136 is a wasteful number, since it uses less digits than its factorization.

3416167136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20403 (or 20395 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3416167136 is about 58447.9865863658. The cubic root of 3416167136 is about 1506.0742044544.

The spelling of 3416167136 in words is "three billion, four hundred sixteen million, one hundred sixty-seven thousand, one hundred thirty-six".