343413502416 has 160 divisors (see below), whose sum is σ = 1041439692800. Its totient is φ = 108045498240.

The previous prime is 343413502409. The next prime is 343413502451. The reversal of 343413502416 is 614205314343.

343413502416 is a `hidden beast` number, since 34 + 34 + 1 + 350 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147175 + ... + 2301561.

It is an arithmetic number, because the mean of its divisors is an integer number (6508998080).

Almost surely, 2^343413502416 is an apocalyptic number.

343413502416 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 343413502416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520719846400).

343413502416 is an abundant number, since it is smaller than the sum of its proper divisors (698026190384).

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

343413502416 is a wasteful number, since it uses less digits than its factorization.

343413502416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154694 (or 154682 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 343413502416 its reverse (614205314343), we get a palindrome (957618816759).

The spelling of 343413502416 in words is "three hundred forty-three billion, four hundred thirteen million, five hundred two thousand, four hundred sixteen".