349220644992 has 216 divisors, whose sum is σ = 1051900123365. Its totient is φ = 111198624768.

The previous prime is 349220644991. The next prime is 349220645021. The reversal of 349220644992 is 299446022943.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

349220644992 is a `hidden beast` number, since 3 + 4 + 92 + 2 + 0 + 64 + 499 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 344306074176 + 4914570816 = 586776^2 + 70104^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=417864.

It is not an unprimeable number, because it can be changed into a prime (349220644991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 461321478 + ... + 461322234.

Almost surely, 2^349220644992 is an apocalyptic number.

349220644992 is a gapful number since it is divisible by the number (32) 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 349220644992

349220644992 is an abundant number, since it is smaller than the sum of its proper divisors (702679478373).

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

349220644992 is an frugal number, since it uses more digits than its factorization.

349220644992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 349220644992 in words is "three hundred forty-nine billion, two hundred twenty million, six hundred forty-four thousand, nine hundred ninety-two".