3564839616 has 224 divisors, whose sum is σ = 11129711040. Its totient is φ = 996409344.

The previous prime is 3564839609. The next prime is 3564839657. The reversal of 3564839616 is 6169384653.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229080 + ... + 1231976.

It is an arithmetic number, because the mean of its divisors is an integer number (49686210).

Almost surely, 2^3564839616 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 3564839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564855520).

3564839616 is an abundant number, since it is smaller than the sum of its proper divisors (7564871424).

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

3564839616 is a wasteful number, since it uses less digits than its factorization.

3564839616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2961 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 3564839616 is about 59706.2778608749. The cubic root of 3564839616 is about 1527.6129516828.

The spelling of 3564839616 in words is "three billion, five hundred sixty-four million, eight hundred thirty-nine thousand, six hundred sixteen".