38978604900 has 81 divisors (see below), whose sum is σ = 122194839403. Its totient is φ = 10392715200.

The previous prime is 38978604857. The next prime is 38978604901. The reversal of 38978604900 is 940687983.

The square root of 38978604900 is 197430.

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

38978604900 is a `hidden beast` number, since 3 + 8 + 97 + 8 + 60 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6370913124 + 32607691776 = 79818^2 + 180576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38978604901) 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, 5919610 + ... + 5926190.

Almost surely, 2^38978604900 is an apocalyptic number.

38978604900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38978604900 is the 197430-th square number.

It is an amenable number.

38978604900 is an abundant number, since it is smaller than the sum of its proper divisors (83216234503).

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

38978604900 is an equidigital number, since it uses as much as digits as its factorization.

38978604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13182 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 38978604900 in words is "thirty-eight billion, nine hundred seventy-eight million, six hundred four thousand, nine hundred".