343257281640 has 384 divisors, whose sum is σ = 1404965802240. Its totient is φ = 70738956288.

The previous prime is 343257281551. The next prime is 343257281659. The reversal of 343257281640 is 46182752343.

343257281640 is a `hidden beast` number, since 3 + 4 + 32 + 572 + 8 + 1 + 6 + 40 = 666.

It is a super-3 number, since 3×343257281640³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1286844 + ... + 1530516.

It is an arithmetic number, because the mean of its divisors is an integer number (3658765110).

Almost surely, 2^343257281640 is an apocalyptic number.

343257281640 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 343257281640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702482901120).

343257281640 is an abundant number, since it is smaller than the sum of its proper divisors (1061708520600).

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

343257281640 is a wasteful number, since it uses less digits than its factorization.

343257281640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243753 (or 243746 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 343257281640 in words is "three hundred forty-three billion, two hundred fifty-seven million, two hundred eighty-one thousand, six hundred forty".