32775481600 has 243 divisors, whose sum is σ = 84989800539. Its totient is φ = 12513484800.

The previous prime is 32775481579. The next prime is 32775481601. The reversal of 32775481600 is 618457723.

The square root of 32775481600 is 181040.

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 179345664 + 32596135936 = 13392^2 + 180544^2 .

It is a super-2 number, since 2×32775481600² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32775481601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 448979164 + ... + 448979236.

Almost surely, 2^32775481600 is an apocalyptic number.

32775481600 is the 181040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32775481600

32775481600 is an abundant number, since it is smaller than the sum of its proper divisors (52214318939).

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

32775481600 is an frugal number, since it uses more digits than its factorization.

32775481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 32775481600 in words is "thirty-two billion, seven hundred seventy-five million, four hundred eighty-one thousand, six hundred".