352113062400 has 720 divisors, whose sum is σ = 1387400620320. Its totient is φ = 84570931200.

The previous prime is 352113062383. The next prime is 352113062401. The reversal of 352113062400 is 4260311253.

352113062400 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 1 + 30 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (352113062401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143192371 + ... + 143194829.

It is an arithmetic number, because the mean of its divisors is an integer number (1926945306).

Almost surely, 2^352113062400 is an apocalyptic number.

352113062400 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 352113062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693700310160).

352113062400 is an abundant number, since it is smaller than the sum of its proper divisors (1035287557920).

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

352113062400 is a wasteful number, since it uses less digits than its factorization.

352113062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 352113062400 its reverse (4260311253), we get a palindrome (356373373653).

The spelling of 352113062400 in words is "three hundred fifty-two billion, one hundred thirteen million, sixty-two thousand, four hundred".