3536323968 has 128 divisors (see below), whose sum is σ = 9835084800. Its totient is φ = 1123696640.

The previous prime is 3536323939. The next prime is 3536323981. The reversal of 3536323968 is 8693236353.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3806128 + ... + 3807056.

It is an arithmetic number, because the mean of its divisors is an integer number (76836600).

Almost surely, 2^3536323968 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 3536323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917542400).

3536323968 is an abundant number, since it is smaller than the sum of its proper divisors (6298760832).

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

3536323968 is a wasteful number, since it uses less digits than its factorization.

3536323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1388 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 48.

The square root of 3536323968 is about 59466.9989826290. The cubic root of 3536323968 is about 1523.5288463019.

The spelling of 3536323968 in words is "three billion, five hundred thirty-six million, three hundred twenty-three thousand, nine hundred sixty-eight".