32412068352 has 400 divisors, whose sum is σ = 105807727872. Its totient is φ = 9833840640.

The previous prime is 32412068281. The next prime is 32412068357. The reversal of 32412068352 is 25386021423.

32412068352 is a `hidden beast` number, since 3 + 241 + 2 + 0 + 68 + 352 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (32412068357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21855003 + ... + 21856485.

Almost surely, 2^32412068352 is an apocalyptic number.

32412068352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32412068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52903863936).

32412068352 is an abundant number, since it is smaller than the sum of its proper divisors (73395659520).

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

32412068352 is a wasteful number, since it uses less digits than its factorization.

32412068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 32412068352 its reverse (25386021423), we get a palindrome (57798089775).

It can be divided in two parts, 324 and 12068352, that added together give a square (12068676 = 3474²).

The spelling of 32412068352 in words is "thirty-two billion, four hundred twelve million, sixty-eight thousand, three hundred fifty-two".