3530005200 has 90 divisors (see below), whose sum is σ = 12250111094. Its totient is φ = 941333760.

The previous prime is 3530005181. The next prime is 3530005207. The reversal of 3530005200 is 25000353.

3530005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 213627456 + 3316377744 = 14616^2 + 57588^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530005207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 486679 + ... + 493878.

Almost surely, 2^3530005200 is an apocalyptic number.

3530005200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3530005200 is an abundant number, since it is smaller than the sum of its proper divisors (8720105894).

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

3530005200 is a wasteful number, since it uses less digits than its factorization.

3530005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980581 (or 980567 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3530005200 is about 59413.8468709105. The cubic root of 3530005200 is about 1522.6208822784.

Adding to 3530005200 its reverse (25000353), we get a palindrome (3555005553).

The spelling of 3530005200 in words is "three billion, five hundred thirty million, five thousand, two hundred".