8934030400 has 189 divisors, whose sum is σ = 23521712799. Its totient is φ = 3339202560.

The previous prime is 8934030367. The next prime is 8934030431. The reversal of 8934030400 is 40304398.

The square root of 8934030400 is 94520.

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 208975936 + 8725054464 = 14456^2 + 93408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64273531 + ... + 64273669.

Almost surely, 2^8934030400 is an apocalyptic number.

8934030400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8934030400 is the 94520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8934030400

8934030400 is an abundant number, since it is smaller than the sum of its proper divisors (14587682399).

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

8934030400 is a wasteful number, since it uses less digits than its factorization.

8934030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 8934030400 is about 2074.9890472156.

Adding to 8934030400 its reverse (40304398), we get a palindrome (8974334798).

The spelling of 8934030400 in words is "eight billion, nine hundred thirty-four million, thirty thousand, four hundred".