3528768936 has 192 divisors, whose sum is σ = 11370723840. Its totient is φ = 886550400.

The previous prime is 3528768913. The next prime is 3528768959. The reversal of 3528768936 is 6398678253.

3528768936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3528768913) and next prime (3528768959).

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, 1774935 + ... + 1776921.

It is an arithmetic number, because the mean of its divisors is an integer number (59222520).

Almost surely, 2^3528768936 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 3528768936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685361920).

3528768936 is an abundant number, since it is smaller than the sum of its proper divisors (7841954904).

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

3528768936 is a wasteful number, since it uses less digits than its factorization.

3528768936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2041 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 3528768936 is about 59403.4421224898. The cubic root of 3528768936 is about 1522.4431128359.

The spelling of 3528768936 in words is "three billion, five hundred twenty-eight million, seven hundred sixty-eight thousand, nine hundred thirty-six".