38661733236736 has 135 divisors (see below), whose sum is σ = 79946814011967. Its totient is φ = 18695351992320.

The previous prime is 38661733236713. The next prime is 38661733236761. The reversal of 38661733236736 is 63763233716683.

It is a happy number.

The square root of 38661733236736 is 6217856.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24672451825 + ... + 24672453391.

Almost surely, 2^{38661733236736} is an apocalyptic number.

38661733236736 is the 6217856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38661733236736

38661733236736 is an abundant number, since it is smaller than the sum of its proper divisors (41285080775231).

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

38661733236736 is an frugal number, since it uses more digits than its factorization.

38661733236736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 1600 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 64.

38661733236736 divided by its sum of digits (64) gives a square (604089581824 = 777232²).

The spelling of 38661733236736 in words is "thirty-eight trillion, six hundred sixty-one billion, seven hundred thirty-three million, two hundred thirty-six thousand, seven hundred thirty-six".