352053283200 has 768 divisors, whose sum is σ = 1230205190400. Its totient is φ = 88389550080.

The previous prime is 352053283193. The next prime is 352053283217. The reversal of 352053283200 is 2382350253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2242377522 + ... + 2242377678.

It is an arithmetic number, because the mean of its divisors is an integer number (1601829675).

Almost surely, 2^352053283200 is an apocalyptic number.

352053283200 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 352053283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615102595200).

352053283200 is an abundant number, since it is smaller than the sum of its proper divisors (878151907200).

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

352053283200 is a wasteful number, since it uses less digits than its factorization.

352053283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 352053283200 in words is "three hundred fifty-two billion, fifty-three million, two hundred eighty-three thousand, two hundred".