38407072654336 has 99 divisors (see below), whose sum is σ = 81038142147801. Its totient is φ = 18191039053824.

The previous prime is 38407072654333. The next prime is 38407072654367. The reversal of 38407072654336 is 63345627070483.

The square root of 38407072654336 is 6197344.

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., 27499536000000 + 10907536654336 = 5244000^2 + 3302656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38407072654333) 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, 3767980056 + ... + 3767990248.

Almost surely, 2^{38407072654336} is an apocalyptic number.

38407072654336 is the 6197344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38407072654336

38407072654336 is an abundant number, since it is smaller than the sum of its proper divisors (42631069493465).

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

38407072654336 is an frugal number, since it uses more digits than its factorization.

38407072654336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20444 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 58.

The spelling of 38407072654336 in words is "thirty-eight trillion, four hundred seven billion, seventy-two million, six hundred fifty-four thousand, three hundred thirty-six".