352001245200 has 720 divisors, whose sum is σ = 1335103922880. Its totient is φ = 78920089600.

The previous prime is 352001245139. The next prime is 352001245223. The reversal of 352001245200 is 2542100253.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145634392 + ... + 145636808.

It is an arithmetic number, because the mean of its divisors is an integer number (1854311004).

Almost surely, 2^352001245200 is an apocalyptic number.

352001245200 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 352001245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667551961440).

352001245200 is an abundant number, since it is smaller than the sum of its proper divisors (983102677680).

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

352001245200 is a wasteful number, since it uses less digits than its factorization.

352001245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 352001245200 its reverse (2542100253), we get a palindrome (354543345453).

The spelling of 352001245200 in words is "three hundred fifty-two billion, one million, two hundred forty-five thousand, two hundred".