343145069534400 has 672 divisors, whose sum is σ = 1360767253893120. Its totient is φ = 73952911872000.

The previous prime is 343145069534329. The next prime is 343145069534417. The reversal of 343145069534400 is 4435960541343.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×343145069534400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133428685 + ... + 135976115.

Almost surely, 2^{343145069534400} is an apocalyptic number.

343145069534400 is a gapful number since it is divisible by the number (30) 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 343145069534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680383626946560).

343145069534400 is an abundant number, since it is smaller than the sum of its proper divisors (1017622184358720).

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

343145069534400 is a wasteful number, since it uses less digits than its factorization.

343145069534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547693 (or 2547678 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 343145069534400 in words is "three hundred forty-three trillion, one hundred forty-five billion, sixty-nine million, five hundred thirty-four thousand, four hundred".