343134141400 has 96 divisors (see below), whose sum is σ = 819676756080. Its totient is φ = 133507584000.

The previous prime is 343134141373. The next prime is 343134141409. The reversal of 343134141400 is 4141431343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343134141409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2701315 + ... + 2825485.

Almost surely, 2^343134141400 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 343134141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409838378040).

343134141400 is an abundant number, since it is smaller than the sum of its proper divisors (476542614680).

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

343134141400 is a wasteful number, since it uses less digits than its factorization.

343134141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124565 (or 124556 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 343134141400 its reverse (4141431343), we get a palindrome (347275572743).

The spelling of 343134141400 in words is "three hundred forty-three billion, one hundred thirty-four million, one hundred forty-one thousand, four hundred".