1038772900 has 81 divisors (see below), whose sum is σ = 2486173123. Its totient is φ = 376446400.

The previous prime is 1038772871. The next prime is 1038772909. The reversal of 1038772900 is 92778301.

The square root of 1038772900 is 32230.

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 164506276 + 874266624 = 12826^2 + 29568^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1038772900.

It is not an unprimeable number, because it can be changed into a prime (1038772909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3545154 + ... + 3545446.

Almost surely, 2^1038772900 is an apocalyptic number.

1038772900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1038772900 is the 32230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038772900

1038772900 is an abundant number, since it is smaller than the sum of its proper divisors (1447400223).

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

1038772900 is a wasteful number, since it uses less digits than its factorization.

1038772900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The cubic root of 1038772900 is about 1012.7607701034.

The spelling of 1038772900 in words is "one billion, thirty-eight million, seven hundred seventy-two thousand, nine hundred".