343939063628160 has 4608 divisors, whose sum is σ = 1689216631764480. Its totient is φ = 65735601684480.

The previous prime is 343939063628143. The next prime is 343939063628221. The reversal of 343939063628160 is 61826360939343.

It is a happy number.

343939063628160 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 390 + 63 + 6 + 28 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 596081565792 + ... + 596081566368.

It is an arithmetic number, because the mean of its divisors is an integer number (366583470435).

Almost surely, 2^{343939063628160} is an apocalyptic number.

343939063628160 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 343939063628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844608315882240).

343939063628160 is an abundant number, since it is smaller than the sum of its proper divisors (1345277568136320).

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

343939063628160 is a wasteful number, since it uses less digits than its factorization.

343939063628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 343939063628160 in words is "three hundred forty-three trillion, nine hundred thirty-nine billion, sixty-three million, six hundred twenty-eight thousand, one hundred sixty".