343494929292372 has 1152 divisors, whose sum is σ = 1111264143575040. Its totient is φ = 92139310771200.

The previous prime is 343494929292343. The next prime is 343494929292373. The reversal of 343494929292372 is 273292929494343.

It is a happy number.

343494929292372 is a `hidden beast` number, since 3 + 4 + 3 + 49 + 49 + 2 + 92 + 92 + 372 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 343494929292372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343494929292373) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40683985983 + ... + 40683994425.

It is an arithmetic number, because the mean of its divisors is an integer number (964639013520).

Almost surely, 2^{343494929292372} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343494929292372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555632071787520).

343494929292372 is an abundant number, since it is smaller than the sum of its proper divisors (767769214282668).

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

343494929292372 is a wasteful number, since it uses less digits than its factorization.

343494929292372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8572 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 72.

The spelling of 343494929292372 in words is "three hundred forty-three trillion, four hundred ninety-four billion, nine hundred twenty-nine million, two hundred ninety-two thousand, three hundred seventy-two".