353245334400 has 2304 divisors, whose sum is σ = 1619510630400. Its totient is φ = 71530905600.

The previous prime is 353245334369. The next prime is 353245334461. The reversal of 353245334400 is 4433542353.

353245334400 is a `hidden beast` number, since 3 + 5 + 3 + 245 + 3 + 3 + 4 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4975286365 + ... + 4975286435.

It is an arithmetic number, because the mean of its divisors is an integer number (702912600).

Almost surely, 2^353245334400 is an apocalyptic number.

353245334400 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 353245334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809755315200).

353245334400 is an abundant number, since it is smaller than the sum of its proper divisors (1266265296000).

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

353245334400 is a wasteful number, since it uses less digits than its factorization.

353245334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 353245334400 its reverse (4433542353), we get a palindrome (357678876753).

The spelling of 353245334400 in words is "three hundred fifty-three billion, two hundred forty-five million, three hundred thirty-four thousand, four hundred".