3406615146 has 96 divisors (see below), whose sum is σ = 8844526080. Its totient is φ = 935431200.

The previous prime is 3406615139. The next prime is 3406615183. The reversal of 3406615146 is 6415166043.

It is a happy number.

3406615146 is a `hidden beast` number, since 34 + 0 + 6 + 615 + 1 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3406615146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66841 + ... + 106211.

It is an arithmetic number, because the mean of its divisors is an integer number (92130480).

Almost surely, 2^3406615146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406615146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422263040).

3406615146 is an abundant number, since it is smaller than the sum of its proper divisors (5437910934).

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

3406615146 is a wasteful number, since it uses less digits than its factorization.

3406615146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39432 (or 39429 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3406615146 is about 58366.2157930425. The cubic root of 3406615146 is about 1504.6691761157.

The spelling of 3406615146 in words is "three billion, four hundred six million, six hundred fifteen thousand, one hundred forty-six".