343123000400 has 60 divisors (see below), whose sum is σ = 852779003100. Its totient is φ = 132516464640.

The previous prime is 343123000393. The next prime is 343123000411. The reversal of 343123000400 is 4000321343.

It can be written as a sum of positive squares in 6 ways, for example, as 75486463504 + 267636536896 = 274748^2 + 517336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14778185 + ... + 14801384.

It is an arithmetic number, because the mean of its divisors is an integer number (14212983385).

Almost surely, 2^343123000400 is an apocalyptic number.

It is an amenable number.

343123000400 is an abundant number, since it is smaller than the sum of its proper divisors (509656002700).

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

343123000400 is a wasteful number, since it uses less digits than its factorization.

343123000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29579616 (or 29579605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 343123000400 its reverse (4000321343), we get a palindrome (347123321743).

The spelling of 343123000400 in words is "three hundred forty-three billion, one hundred twenty-three million, four hundred", and thus it is an aban number.