354243352544340 has 192 divisors, whose sum is σ = 1137860241960960. Its totient is φ = 80664571975680.

The previous prime is 354243352544311. The next prime is 354243352544381. The reversal of 354243352544340 is 43445253342453.

It is a super-3 number, since 3×354243352544340³ (a number of 45 digits) contains 333 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, 138974569 + ... + 141500591.

It is an arithmetic number, because the mean of its divisors is an integer number (5926355426880).

Almost surely, 2^{354243352544340} is an apocalyptic number.

354243352544340 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 354243352544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568930120980480).

354243352544340 is an abundant number, since it is smaller than the sum of its proper divisors (783616889416620).

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

354243352544340 is a wasteful number, since it uses less digits than its factorization.

354243352544340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527302 (or 2527300 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 51.

The spelling of 354243352544340 in words is "three hundred fifty-four trillion, two hundred forty-three billion, three hundred fifty-two million, five hundred forty-four thousand, three hundred forty".