38145996100 has 27 divisors (see below), whose sum is σ = 82781049981. Its totient is φ = 15257617200.

The previous prime is 38145996089. The next prime is 38145996101. The reversal of 38145996100 is 169954183.

The square root of 38145996100 is 195310.

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., 13732558596 + 24413437504 = 117186^2 + 156248^2 .

It is a super-3 number, since 3×38145996100³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38145996101) 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 8 ways as a sum of consecutive naturals, for example, 1943335 + ... + 1962865.

Almost surely, 2^38145996100 is an apocalyptic number.

38145996100 is the 195310-th square number.

It is an amenable number.

38145996100 is an abundant number, since it is smaller than the sum of its proper divisors (44635053881).

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

38145996100 is an frugal number, since it uses more digits than its factorization.

38145996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39076 (or 19538 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 38145996100 in words is "thirty-eight billion, one hundred forty-five million, nine hundred ninety-six thousand, one hundred".