352887360000 has 800 divisors, whose sum is σ = 1422026305920. Its totient is φ = 75890688000.

The previous prime is 352887359969. The next prime is 352887360047. The reversal of 352887360000 is 63788253.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114238456 + ... + 114241544.

Almost surely, 2^352887360000 is an apocalyptic number.

352887360000 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 352887360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711013152960).

352887360000 is an abundant number, since it is smaller than the sum of its proper divisors (1069138945920).

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

352887360000 is an equidigital number, since it uses as much as digits as its factorization.

352887360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 352887360000 in words is "three hundred fifty-two billion, eight hundred eighty-seven million, three hundred sixty thousand".