343927982016 has 112 divisors (see below), whose sum is σ = 1011329956000. Its totient is φ = 114614839296.

The previous prime is 343927981997. The next prime is 343927982051. The reversal of 343927982016 is 610289729343.

343927982016 is a `hidden beast` number, since 343 + 9 + 2 + 7 + 98 + 201 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7838796 + ... + 7882548.

It is an arithmetic number, because the mean of its divisors is an integer number (9029731750).

Almost surely, 2^343927982016 is an apocalyptic number.

343927982016 is a gapful number since it is divisible by the number (36) 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 343927982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505664978000).

343927982016 is an abundant number, since it is smaller than the sum of its proper divisors (667401973984).

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

343927982016 is a wasteful number, since it uses less digits than its factorization.

343927982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48323 (or 48307 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 343927982016 in words is "three hundred forty-three billion, nine hundred twenty-seven million, nine hundred eighty-two thousand, sixteen".