3617434016 has 288 divisors, whose sum is σ = 9307872000. Its totient is φ = 1373718528.

The previous prime is 3617434013. The next prime is 3617434021. The reversal of 3617434016 is 6104347163.

It is a super-2 number, since 2×3617434016² = 26171657720227776512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3617434013) 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, 45790265 + ... + 45790343.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^3617434016 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 3617434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936000).

3617434016 is an abundant number, since it is smaller than the sum of its proper divisors (5690437984).

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

3617434016 is a wasteful number, since it uses less digits than its factorization.

3617434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 3617434016 is about 60145.1079972428. The cubic root of 3617434016 is about 1535.0889282053.

The spelling of 3617434016 in words is "three billion, six hundred seventeen million, four hundred thirty-four thousand, sixteen".