38349388900 has 27 divisors (see below), whose sum is σ = 83222423641. Its totient is φ = 15338972240.

The previous prime is 38349388877. The next prime is 38349388949. The reversal of 38349388900 is 988394383.

It is a happy number.

The square root of 38349388900 is 195830.

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., 13805780004 + 24543608896 = 117498^2 + 156664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1948509 + ... + 1968091.

Almost surely, 2^38349388900 is an apocalyptic number.

38349388900 is the 195830-th square number.

It is an amenable number.

38349388900 is an abundant number, since it is smaller than the sum of its proper divisors (44873034741).

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

38349388900 is an frugal number, since it uses more digits than its factorization.

38349388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39180 (or 19590 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 38349388900 in words is "thirty-eight billion, three hundred forty-nine million, three hundred eighty-eight thousand, nine hundred".