349452081792 has 160 divisors (see below), whose sum is σ = 1134506260800. Its totient is φ = 105894535680.

The previous prime is 349452081791. The next prime is 349452081817. The reversal of 349452081792 is 297180254943.

349452081792 is a `hidden beast` number, since 3 + 49 + 4 + 520 + 8 + 1 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (349452081791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1417992 + ... + 1646087.

It is an arithmetic number, because the mean of its divisors is an integer number (7090664130).

Almost surely, 2^349452081792 is an apocalyptic number.

349452081792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349452081792 is an abundant number, since it is smaller than the sum of its proper divisors (785054179008).

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

349452081792 is a wasteful number, since it uses less digits than its factorization.

349452081792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064116 (or 3064095 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 349452081792 in words is "three hundred forty-nine billion, four hundred fifty-two million, eighty-one thousand, seven hundred ninety-two".