343838017152 has 448 divisors, whose sum is σ = 1189974807360. Its totient is φ = 96880250880.

The previous prime is 343838017091. The next prime is 343838017241. The reversal of 343838017152 is 251710838343.

343838017152 is a `hidden beast` number, since 34 + 383 + 80 + 17 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×343838017152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343838017098 and 343838017107.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47678827 + ... + 47686037.

Almost surely, 2^343838017152 is an apocalyptic number.

343838017152 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 343838017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594987403680).

343838017152 is an abundant number, since it is smaller than the sum of its proper divisors (846136790208).

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

343838017152 is an frugal number, since it uses more digits than its factorization.

343838017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 343838017152 in words is "three hundred forty-three billion, eight hundred thirty-eight million, seventeen thousand, one hundred fifty-two".