30495636900 has 81 divisors (see below), whose sum is σ = 95603303523. Its totient is φ = 8130772800.

The previous prime is 30495636893. The next prime is 30495636901. The reversal of 30495636900 is 963659403.

It is a happy number.

The square root of 30495636900 is 174630.

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

30495636900 is a `hidden beast` number, since 3 + 0 + 4 + 9 + 5 + 636 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2239371684 + 28256265216 = 47322^2 + 168096^2 .

It is a super-3 number, since 3×30495636900³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30495636901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5235990 + ... + 5241810.

Almost surely, 2^30495636900 is an apocalyptic number.

30495636900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30495636900 is the 174630-th square number.

It is an amenable number.

30495636900 is an abundant number, since it is smaller than the sum of its proper divisors (65107666623).

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

30495636900 is an equidigital number, since it uses as much as digits as its factorization.

30495636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 30495636900 in words is "thirty billion, four hundred ninety-five million, six hundred thirty-six thousand, nine hundred".