38967745032225 has 81 divisors (see below), whose sum is σ = 70092155371147. Its totient is φ = 20694854208000.

The previous prime is 38967745032143. The next prime is 38967745032283. The reversal of 38967745032225 is 52223054776983.

The square root of 38967745032225 is 6242415.

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

38967745032225 is a `hidden beast` number, since 3 + 8 + 96 + 77 + 450 + 3 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 20824336630161 + 18143408402064 = 4563369^2 + 4259508^2 .

It is not a de Polignac number, because 38967745032225 - 2²⁷ = 38967610814497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26311778485 + ... + 26311779965.

Almost surely, 2^{38967745032225} is an apocalyptic number.

38967745032225 is the 6242415-th square number.

38967745032225 is the 3121208-th centered octagonal number.

It is an amenable number.

38967745032225 is a deficient number, since it is larger than the sum of its proper divisors (31124410338922).

38967745032225 is an frugal number, since it uses more digits than its factorization.

38967745032225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 38967745032225 in words is "thirty-eight trillion, nine hundred sixty-seven billion, seven hundred forty-five million, thirty-two thousand, two hundred twenty-five".