32281308900 has 243 divisors, whose sum is σ = 104049845809. Its totient is φ = 8371184640.

The previous prime is 32281308893. The next prime is 32281308919. The reversal of 32281308900 is 980318223.

It is a happy number.

The square root of 32281308900 is 179670.

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

It can be written as a sum of positive squares in 13 ways, for example, as 30743414244 + 1537894656 = 175338^2 + 39216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

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, 285675244 + ... + 285675356.

Almost surely, 2^32281308900 is an apocalyptic number.

32281308900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32281308900 is the 179670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32281308900

32281308900 is an abundant number, since it is smaller than the sum of its proper divisors (71768536909).

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

32281308900 is a wasteful number, since it uses less digits than its factorization.

32281308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 32281308900 by its sum of digits (36), we get a square (1162127120400 = 1078020²).

32281308900 divided by its sum of digits (36) gives a square (896703025 = 29945²).

Multiplying 32281308900 by its product of nonzero digits (20736), we get a square (669385221350400 = 25872480²).

The spelling of 32281308900 in words is "thirty-two billion, two hundred eighty-one million, three hundred eight thousand, nine hundred".