347561121976992 has 3888 divisors, whose sum is σ = 1427284305679680. Its totient is φ = 80528517273600.

The previous prime is 347561121976963. The next prime is 347561121977053. The reversal of 347561121976992 is 299679121165743.

347561121976992 is a `hidden beast` number, since 3 + 47 + 561 + 1 + 2 + 19 + 7 + 6 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×347561121976992² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 347561121976992.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 9393543837198 + ... + 9393543837234.

It is an arithmetic number, because the mean of its divisors is an integer number (367099872860).

Almost surely, 2^{347561121976992} is an apocalyptic number.

347561121976992 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 347561121976992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713642152839840).

347561121976992 is an abundant number, since it is smaller than the sum of its proper divisors (1079723183702688).

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

347561121976992 is a wasteful number, since it uses less digits than its factorization.

347561121976992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 110 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 347561121976992 in words is "three hundred forty-seven trillion, five hundred sixty-one billion, one hundred twenty-one million, nine hundred seventy-six thousand, nine hundred ninety-two".