343507478990720 has 512 divisors, whose sum is σ = 936573297960960. Its totient is φ = 119362063564800.

The previous prime is 343507478990717. The next prime is 343507478990771. The reversal of 343507478990720 is 27099874705343.

It is a super-2 number, since 2×343507478990720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62218341560 + ... + 62218347080.

It is an arithmetic number, because the mean of its divisors is an integer number (1829244722580).

Almost surely, 2^{343507478990720} 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 343507478990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468286648980480).

343507478990720 is an abundant number, since it is smaller than the sum of its proper divisors (593065818970240).

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

343507478990720 is a wasteful number, since it uses less digits than its factorization.

343507478990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10014 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 68.

The spelling of 343507478990720 in words is "three hundred forty-three trillion, five hundred seven billion, four hundred seventy-eight million, nine hundred ninety thousand, seven hundred twenty".