38735810916100 has 81 divisors (see below), whose sum is σ = 84721094349493. Its totient is φ = 15372810700000.

The previous prime is 38735810916083. The next prime is 38735810916109. The reversal of 38735810916100 is 161901853783.

The square root of 38735810916100 is 6223810.

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

It can be written as a sum of positive squares in only one way, i.e., 13944891929796 + 24790918986304 = 3734286^2 + 4979048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38735810916109) 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, 8153188725 + ... + 8153193475.

Almost surely, 2^{38735810916100} is an apocalyptic number.

38735810916100 is the 6223810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38735810916100

38735810916100 is an abundant number, since it is smaller than the sum of its proper divisors (45985283433393).

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

38735810916100 is an frugal number, since it uses more digits than its factorization.

38735810916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 38735810916100 in words is "thirty-eight trillion, seven hundred thirty-five billion, eight hundred ten million, nine hundred sixteen thousand, one hundred".