38902963226176 has 189 divisors, whose sum is σ = 90617829500961. Its totient is φ = 16522556069376.

The previous prime is 38902963226159. The next prime is 38902963226219. The reversal of 38902963226176 is 67162236920983.

The square root of 38902963226176 is 6237224.

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., 32777457025600 + 6125506200576 = 5725160^2 + 2474976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44359136650 + ... + 44359137526.

It is an arithmetic number, because the mean of its divisors is an integer number (479459415349).

Almost surely, 2^{38902963226176} is an apocalyptic number.

38902963226176 is the 6237224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38902963226176

38902963226176 is an abundant number, since it is smaller than the sum of its proper divisors (51714866274785).

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

38902963226176 is an frugal number, since it uses more digits than its factorization.

38902963226176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

38902963226176 divided by its sum of digits (64) gives a square (607858800409 = 779653²).

The spelling of 38902963226176 in words is "thirty-eight trillion, nine hundred two billion, nine hundred sixty-three million, two hundred twenty-six thousand, one hundred seventy-six".