38563727400900 has 243 divisors, whose sum is σ = 130897466706279. Its totient is φ = 9492013664640.

The previous prime is 38563727400817. The next prime is 38563727400997. The reversal of 38563727400900 is 900472736583.

The square root of 38563727400900 is 6209970.

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

38563727400900 is a `hidden beast` number, since 3 + 8 + 563 + 7 + 2 + 74 + 0 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9939857784516 + 28623869616384 = 3152754^2 + 5350128^2 .

It is a super-2 number, since 2×38563727400900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2421880339 + ... + 2421896261.

Almost surely, 2^{38563727400900} is an apocalyptic number.

38563727400900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38563727400900 is the 6209970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38563727400900

38563727400900 is an abundant number, since it is smaller than the sum of its proper divisors (92333739305379).

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

38563727400900 is a wasteful number, since it uses less digits than its factorization.

38563727400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31892 (or 15946 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 38563727400900 in words is "thirty-eight trillion, five hundred sixty-three billion, seven hundred twenty-seven million, four hundred thousand, nine hundred".