38074155876 has 81 divisors (see below), whose sum is σ = 102290850571. Its totient is φ = 11938589184.

The previous prime is 38074155857. The next prime is 38074155877. The reversal of 38074155876 is 67855147083.

It is a happy number.

The square root of 38074155876 is 195126.

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

38074155876 is a `hidden beast` number, since 3 + 80 + 7 + 4 + 1 + 558 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16288395876 + 21785760000 = 127626^2 + 147600^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38074155877) 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, 19901896 + ... + 19903808.

Almost surely, 2^38074155876 is an apocalyptic number.

38074155876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38074155876 is the 195126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38074155876

38074155876 is an abundant number, since it is smaller than the sum of its proper divisors (64216694695).

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

38074155876 is a wasteful number, since it uses less digits than its factorization.

38074155876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 38074155876 in words is "thirty-eight billion, seventy-four million, one hundred fifty-five thousand, eight hundred seventy-six".