352447200000 has 1944 divisors, whose sum is σ = 1573667497584. Its totient is φ = 78382080000.

The previous prime is 352447199977. The next prime is 352447200019. The reversal of 352447200000 is 2744253.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9525599982 + ... + 9525600018.

Almost surely, 2^352447200000 is an apocalyptic number.

352447200000 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 352447200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786833748792).

352447200000 is an abundant number, since it is smaller than the sum of its proper divisors (1221220297584).

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

352447200000 is an frugal number, since it uses more digits than its factorization.

352447200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 352447200000 its reverse (2744253), we get a palindrome (352449944253).

The spelling of 352447200000 in words is "three hundred fifty-two billion, four hundred forty-seven million, two hundred thousand".