343344795840 has 280 divisors, whose sum is σ = 1230673202352. Its totient is φ = 90858792960.

The previous prime is 343344795811. The next prime is 343344795847. The reversal of 343344795840 is 48597443343.

It is a happy number.

343344795840 is a `hidden beast` number, since 3 + 4 + 33 + 447 + 95 + 84 + 0 = 666.

It is a super-2 number, since 2×343344795840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (343344795847) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3344962 + ... + 3446078.

Almost surely, 2^343344795840 is an apocalyptic number.

343344795840 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 343344795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615336601176).

343344795840 is an abundant number, since it is smaller than the sum of its proper divisors (887328406512).

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

343344795840 is a wasteful number, since it uses less digits than its factorization.

343344795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101277 (or 101258 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 343344795840 in words is "three hundred forty-three billion, three hundred forty-four million, seven hundred ninety-five thousand, eight hundred forty".