38682629041 has 9 divisors (see below), whose sum is σ = 44999761899. Its totient is φ = 33155359104.

The previous prime is 38682628997. The next prime is 38682629077. The reversal of 38682629041 is 14092628683.

The square root of 38682629041 is 196679.

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., 68807025 + 38613822016 = 8295^2 + 196504^2 .

It is not a de Polignac number, because 38682629041 - 2¹⁵ = 38682596273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38682629081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1362705 + ... + 1390801.

Almost surely, 2^38682629041 is an apocalyptic number.

38682629041 is the 196679-th square number.

38682629041 is the 98340-th centered octagonal number.

It is an amenable number.

38682629041 is a deficient number, since it is larger than the sum of its proper divisors (6317132858).

38682629041 is an frugal number, since it uses more digits than its factorization.

38682629041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56208 (or 28104 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 38682629041 by its sum of digits (49), we get a square (1895448823009 = 1376753²).

38682629041 divided by its sum of digits (49) gives a square (789441409 = 28097²).

The spelling of 38682629041 in words is "thirty-eight billion, six hundred eighty-two million, six hundred twenty-nine thousand, forty-one".