38742048900 has 171 divisors, whose sum is σ = 126105369061. Its totient is φ = 10331213040.

The previous prime is 38742048887. The next prime is 38742048929. The reversal of 38742048900 is 984024783.

The square root of 38742048900 is 196830.

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., 13947137604 + 24794911296 = 118098^2 + 157464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 56 ways as a sum of consecutive naturals, for example, 7748409778 + ... + 7748409782.

Almost surely, 2^38742048900 is an apocalyptic number.

38742048900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38742048900 is the 196830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38742048900

38742048900 is an abundant number, since it is smaller than the sum of its proper divisors (87363320161).

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

38742048900 is an frugal number, since it uses more digits than its factorization.

38742048900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38742048900 in words is "thirty-eight billion, seven hundred forty-two million, forty-eight thousand, nine hundred".