32012366400 has 945 divisors, whose sum is σ = 138835789257. Its totient is φ = 7214054400.

The previous prime is 32012366381. The next prime is 32012366431. The reversal of 32012366400 is 466321023.

The square root of 32012366400 is 178920.

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

32012366400 is a `hidden beast` number, since 3 + 2 + 0 + 12 + 3 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11524451904 + 20487914496 = 107352^2 + 143136^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 450878365 + ... + 450878435.

Almost surely, 2^32012366400 is an apocalyptic number.

32012366400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32012366400 is the 178920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32012366400

32012366400 is an abundant number, since it is smaller than the sum of its proper divisors (106823422857).

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

32012366400 is an equidigital number, since it uses as much as digits as its factorization.

32012366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Multiplying 32012366400 by its product of nonzero digits (5184), we get a square (165952107417600 = 12882240²).

32012366400 divided by its product of nonzero digits (5184) gives a square (6175225 = 2485²).

Adding to 32012366400 its reverse (466321023), we get a palindrome (32478687423).

The spelling of 32012366400 in words is "thirty-two billion, twelve million, three hundred sixty-six thousand, four hundred".