38161753350400 has 243 divisors, whose sum is σ = 97124709863559. Its totient is φ = 14845025341440.

The previous prime is 38161753350359. The next prime is 38161753350473. The reversal of 38161753350400 is 405335716183.

The square root of 38161753350400 is 6177520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3622718382336 + 34539034968064 = 1903344^2 + 5876992^2 .

It is a Duffinian number.

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, 18285458157 + ... + 18285460243.

Almost surely, 2^{38161753350400} is an apocalyptic number.

38161753350400 is the 6177520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38161753350400

38161753350400 is an abundant number, since it is smaller than the sum of its proper divisors (58962956513159).

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

38161753350400 is an frugal number, since it uses more digits than its factorization.

38161753350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 38161753350400 in words is "thirty-eight trillion, one hundred sixty-one billion, seven hundred fifty-three million, three hundred fifty thousand, four hundred".