352532401200 has 720 divisors, whose sum is σ = 1466489844000. Its totient is φ = 80199383040.

The previous prime is 352532401183. The next prime is 352532401201. The reversal of 352532401200 is 2104235253.

It is a happy number.

352532401200 is a `hidden beast` number, since 3 + 5 + 2 + 53 + 2 + 401 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×352532401200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352532401201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121185346 + ... + 121188254.

It is an arithmetic number, because the mean of its divisors is an integer number (2036791450).

Almost surely, 2^352532401200 is an apocalyptic number.

352532401200 is a gapful number since it is divisible by the number (30) 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 352532401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733244922000).

352532401200 is an abundant number, since it is smaller than the sum of its proper divisors (1113957442800).

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

352532401200 is a wasteful number, since it uses less digits than its factorization.

352532401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 352532401200 its reverse (2104235253), we get a palindrome (354636636453).

The spelling of 352532401200 in words is "three hundred fifty-two billion, five hundred thirty-two million, four hundred one thousand, two hundred".