3402136116 has 72 divisors (see below), whose sum is σ = 8832751200. Its totient is φ = 1103716800.

The previous prime is 3402136093. The next prime is 3402136141. The reversal of 3402136116 is 6116312043.

3402136116 is a `hidden beast` number, since 3 + 40 + 2 + 1 + 3 + 611 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3402136116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206595 + ... + 222453.

It is an arithmetic number, because the mean of its divisors is an integer number (122677100).

Almost surely, 2^3402136116 is an apocalyptic number.

3402136116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402136116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416375600).

3402136116 is an abundant number, since it is smaller than the sum of its proper divisors (5430615084).

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

3402136116 is a wasteful number, since it uses less digits than its factorization.

3402136116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16029 (or 16024 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3402136116 is about 58327.8331159319. The cubic root of 3402136116 is about 1504.0094387187.

Adding to 3402136116 its reverse (6116312043), we get a palindrome (9518448159).

The spelling of 3402136116 in words is "three billion, four hundred two million, one hundred thirty-six thousand, one hundred sixteen".