352228046400 has 840 divisors, whose sum is σ = 1329434821440. Its totient is φ = 91445760000.

The previous prime is 352228046393. The next prime is 352228046459. The reversal of 352228046400 is 4640822253.

352228046400 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 2 + 8 + 0 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 929361411 + ... + 929361789.

Almost surely, 2^352228046400 is an apocalyptic number.

352228046400 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 352228046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664717410720).

352228046400 is an abundant number, since it is smaller than the sum of its proper divisors (977206775040).

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

352228046400 is a wasteful number, since it uses less digits than its factorization.

352228046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 352228046400 its reverse (4640822253), we get a palindrome (356868868653).

The spelling of 352228046400 in words is "three hundred fifty-two billion, two hundred twenty-eight million, forty-six thousand, four hundred".