343939954680 has 640 divisors, whose sum is σ = 1405021178880. Its totient is φ = 73970288640.

The previous prime is 343939954651. The next prime is 343939954691. The reversal of 343939954680 is 86459939343.

343939954680 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 3 + 9 + 9 + 546 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 93689245 + ... + 93692915.

It is an arithmetic number, because the mean of its divisors is an integer number (2195345592).

Almost surely, 2^343939954680 is an apocalyptic number.

343939954680 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 343939954680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702510589440).

343939954680 is an abundant number, since it is smaller than the sum of its proper divisors (1061081224200).

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

343939954680 is an equidigital number, since it uses as much as digits as its factorization.

343939954680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 343939954680 in words is "three hundred forty-three billion, nine hundred thirty-nine million, nine hundred fifty-four thousand, six hundred eighty".