38356047409 has 9 divisors (see below), whose sum is σ = 38641536171. Its totient is φ = 38072656800.

The previous prime is 38356047407. The next prime is 38356047487. The reversal of 38356047409 is 90474065383.

The square root of 38356047409 is 195847.

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

38356047409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38237847025 + 118200384 = 195545^2 + 10872^2 .

It is not a de Polignac number, because 38356047409 - 2¹ = 38356047407 is a prime.

It is a super-2 number, since 2×38356047409² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38356047407) 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, 29572249 + ... + 29573545.

It is an arithmetic number, because the mean of its divisors is an integer number (4293504019).

Almost surely, 2^38356047409 is an apocalyptic number.

38356047409 is the 195847-th square number.

38356047409 is the 97924-th centered octagonal number.

It is an amenable number.

38356047409 is a deficient number, since it is larger than the sum of its proper divisors (285488762).

38356047409 is an frugal number, since it uses more digits than its factorization.

38356047409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 38356047409 by its sum of digits (49), we get a square (1879446323041 = 1370929²).

The spelling of 38356047409 in words is "thirty-eight billion, three hundred fifty-six million, forty-seven thousand, four hundred nine".