3005506900 has 54 divisors (see below), whose sum is σ = 7168783790. Its totient is φ = 1092907200.

The previous prime is 3005506897. The next prime is 3005506909. The reversal of 3005506900 is 96055003.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 759884356 + 2245622544 = 27566^2 + 47388^2 .

It is a super-2 number, since 2×3005506900² = 18066143451895220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005506909) 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, 112095 + ... + 136294.

Almost surely, 2^3005506900 is an apocalyptic number.

It is an amenable number.

3005506900 is an abundant number, since it is smaller than the sum of its proper divisors (4163276890).

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

3005506900 is a wasteful number, since it uses less digits than its factorization.

3005506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248425 (or 248407 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 3005506900 is about 54822.5035911349. The cubic root of 3005506900 is about 1443.1315113493.

It can be divided in two parts, 3005 and 506900, that added together give a palindrome (509905).

The spelling of 3005506900 in words is "three billion, five million, five hundred six thousand, nine hundred".