38270493279225 has 81 divisors (see below), whose sum is σ = 69699152809767. Its totient is φ = 20073354912000.

The previous prime is 38270493279211. The next prime is 38270493279241. The reversal of 38270493279225 is 52297239407283.

The square root of 38270493279225 is 6186315.

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

38270493279225 is a `hidden beast` number, since 3 + 8 + 2 + 70 + 493 + 2 + 79 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 33559996023801 + 4710497255424 = 5793099^2 + 2170368^2 .

It is not a de Polignac number, because 38270493279225 - 2⁷ = 38270493279097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5660474845 + ... + 5660481605.

Almost surely, 2^{38270493279225} is an apocalyptic number.

38270493279225 is the 6186315-th square number.

38270493279225 is the 3093158-th centered octagonal number.

It is an amenable number.

38270493279225 is a deficient number, since it is larger than the sum of its proper divisors (31428659530542).

38270493279225 is an frugal number, since it uses more digits than its factorization.

38270493279225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13660 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 38270493279225 in words is "thirty-eight trillion, two hundred seventy billion, four hundred ninety-three million, two hundred seventy-nine thousand, two hundred twenty-five".