343999639872 has 168 divisors, whose sum is σ = 1127619792000. Its totient is φ = 98220377088.

The previous prime is 343999639849. The next prime is 343999639883. The reversal of 343999639872 is 278936999343.

343999639872 is a `hidden beast` number, since 3 + 439 + 9 + 96 + 39 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 343999639872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6218029 + ... + 6273107.

Almost surely, 2^343999639872 is an apocalyptic number.

343999639872 is a gapful number since it is divisible by the number (32) 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 343999639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563809896000).

343999639872 is an abundant number, since it is smaller than the sum of its proper divisors (783620152128).

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

343999639872 is a wasteful number, since it uses less digits than its factorization.

343999639872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56653 (or 56640 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 72.

The spelling of 343999639872 in words is "three hundred forty-three billion, nine hundred ninety-nine million, six hundred thirty-nine thousand, eight hundred seventy-two".