3528136000 has 112 divisors (see below), whose sum is σ = 8771564880. Its totient is φ = 1405747200.

The previous prime is 3528135997. The next prime is 3528136013. The reversal of 3528136000 is 6318253.

It can be written as a sum of positive squares in 8 ways, for example, as 3265436736 + 262699264 = 57144^2 + 16208^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3528136000.

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, 2503296 + ... + 2504704.

Almost surely, 2^3528136000 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 3528136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385782440).

3528136000 is an abundant number, since it is smaller than the sum of its proper divisors (5243428880).

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

3528136000 is a wasteful number, since it uses less digits than its factorization.

3528136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3528136000 is about 59398.1144481877. The cubic root of 3528136000 is about 1522.3520832927.

The spelling of 3528136000 in words is "three billion, five hundred twenty-eight million, one hundred thirty-six thousand".