343266661920 has 960 divisors, whose sum is σ = 1384770643200. Its totient is φ = 71433363456.

The previous prime is 343266661841. The next prime is 343266661939. The reversal of 343266661920 is 29166662343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 343266661920.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4702283004 + ... + 4702283076.

It is an arithmetic number, because the mean of its divisors is an integer number (1442469420).

Almost surely, 2^343266661920 is an apocalyptic number.

343266661920 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 343266661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692385321600).

343266661920 is an abundant number, since it is smaller than the sum of its proper divisors (1041503981280).

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

343266661920 is an frugal number, since it uses more digits than its factorization.

343266661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 343266661920 in words is "three hundred forty-three billion, two hundred sixty-six million, six hundred sixty-one thousand, nine hundred twenty".