38771294755600 has 675 divisors, whose sum is σ = 107165015355045. Its totient is φ = 13479473568000.

The previous prime is 38771294755469. The next prime is 38771294755603. The reversal of 38771294755600 is 655749217783.

The square root of 38771294755600 is 6226660.

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., 13957666112016 + 24813628643584 = 3735996^2 + 4981328^2 .

It is not an unprimeable number, because it can be changed into a prime (38771294755603) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 467124033159 + ... + 467124033241.

It is a 1-persistent number, because it is pandigital, but 2⋅38771294755600 = 77542589511200 is not.

Almost surely, 2^{38771294755600} is an apocalyptic number.

38771294755600 is the 6226660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38771294755600

38771294755600 is an abundant number, since it is smaller than the sum of its proper divisors (68393720599445).

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

38771294755600 is an frugal number, since it uses more digits than its factorization.

38771294755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

The spelling of 38771294755600 in words is "thirty-eight trillion, seven hundred seventy-one billion, two hundred ninety-four million, seven hundred fifty-five thousand, six hundred".