343958790400 has 81 divisors (see below), whose sum is σ = 851467896013. Its totient is φ = 137564748800.

The previous prime is 343958790361. The next prime is 343958790403. The reversal of 343958790400 is 4097859343.

The square root of 343958790400 is 586480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 123825164544 + 220133625856 = 351888^2 + 469184^2 .

It is a super-2 number, since 2×343958790400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343958790403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46914735 + ... + 46922065.

Almost surely, 2^343958790400 is an apocalyptic number.

343958790400 is the 586480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343958790400

343958790400 is an abundant number, since it is smaller than the sum of its proper divisors (507509105613).

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

343958790400 is an frugal number, since it uses more digits than its factorization.

343958790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 343958790400 in words is "three hundred forty-three billion, nine hundred fifty-eight million, seven hundred ninety thousand, four hundred".