3416629060 has 144 divisors (see below), whose sum is σ = 8324675856. Its totient is φ = 1173159936.

The previous prime is 3416629049. The next prime is 3416629061. The reversal of 3416629060 is 609266143.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 3393761536 + 22867524 = 58256^2 + 4782^2 .

It is not an unprimeable number, because it can be changed into a prime (3416629061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5573314 + ... + 5573926.

It is an arithmetic number, because the mean of its divisors is an integer number (57810249).

Almost surely, 2^3416629060 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 3416629060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162337928).

3416629060 is an abundant number, since it is smaller than the sum of its proper divisors (4908046796).

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

3416629060 is a wasteful number, since it uses less digits than its factorization.

3416629060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 3416629060 is about 58451.9380345939. The cubic root of 3416629060 is about 1506.1420836925.

The spelling of 3416629060 in words is "three billion, four hundred sixteen million, six hundred twenty-nine thousand, sixty".