346274645472 has 144 divisors (see below), whose sum is σ = 1129399401312. Its totient is φ = 98583367680.

The previous prime is 346274645399. The next prime is 346274645477. The reversal of 346274645472 is 274546472643.

346274645472 is a `hidden beast` number, since 3 + 4 + 62 + 7 + 464 + 54 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×346274645472² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346274645477) 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 23 ways as a sum of consecutive naturals, for example, 260868 + ... + 872124.

It is an arithmetic number, because the mean of its divisors is an integer number (7843051398).

Almost surely, 2^346274645472 is an apocalyptic number.

346274645472 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 346274645472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564699700656).

346274645472 is an abundant number, since it is smaller than the sum of its proper divisors (783124755840).

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

346274645472 is a wasteful number, since it uses less digits than its factorization.

346274645472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611561 (or 611550 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 54.

The spelling of 346274645472 in words is "three hundred forty-six billion, two hundred seventy-four million, six hundred forty-five thousand, four hundred seventy-two".