352818117600 has 576 divisors, whose sum is σ = 1311296071680. Its totient is φ = 81766195200.

The previous prime is 352818117593. The next prime is 352818117607. The reversal of 352818117600 is 6711818253.

It is an interprime number because it is at equal distance from previous prime (352818117593) and next prime (352818117607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352818117607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35781471 + ... + 35791329.

It is an arithmetic number, because the mean of its divisors is an integer number (2276555680).

Almost surely, 2^352818117600 is an apocalyptic number.

352818117600 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 352818117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655648035840).

352818117600 is an abundant number, since it is smaller than the sum of its proper divisors (958477954080).

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

352818117600 is a wasteful number, since it uses less digits than its factorization.

352818117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 352818117600 in words is "three hundred fifty-two billion, eight hundred eighteen million, one hundred seventeen thousand, six hundred".