3528360000 has 735 divisors, whose sum is σ = 14418715003. Its totient is φ = 855360000.

The previous prime is 3528359959. The next prime is 3528360019. The reversal of 3528360000 is 638253.

The square root of 3528360000 is 59400.

It is a perfect power (a square), and thus also a powerful number.

3528360000 is a `hidden beast` number, since 3 + 52 + 8 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276623424 + 3251736576 = 16632^2 + 57024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 320759995 + ... + 320760005.

Almost surely, 2^3528360000 is an apocalyptic number.

3528360000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3528360000 is the 59400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528360000

3528360000 is an abundant number, since it is smaller than the sum of its proper divisors (10890355003).

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

3528360000 is an frugal number, since it uses more digits than its factorization.

3528360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 3528360000 is about 1522.3843004607.

Adding to 3528360000 its reverse (638253), we get a palindrome (3528998253).

The spelling of 3528360000 in words is "three billion, five hundred twenty-eight million, three hundred sixty thousand".