29904784900 has 27 divisors (see below), whose sum is σ = 64897136031. Its totient is φ = 11961222240.

The previous prime is 29904784867. The next prime is 29904784901. The reversal of 29904784900 is 948740992.

It is a happy number.

The square root of 29904784900 is 172930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13079581956 + 16825202944 = 114366^2 + 129712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29904784901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1720654 + ... + 1737946.

Almost surely, 2^29904784900 is an apocalyptic number.

29904784900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29904784900 is the 172930-th square number.

It is an amenable number.

29904784900 is an abundant number, since it is smaller than the sum of its proper divisors (34992351131).

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

29904784900 is an frugal number, since it uses more digits than its factorization.

29904784900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34600 (or 17300 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 29904784900 in words is "twenty-nine billion, nine hundred four million, seven hundred eighty-four thousand, nine hundred".