343257678720 has 2304 divisors, whose sum is σ = 1519923787200. Its totient is φ = 73574645760.

The previous prime is 343257678707. The next prime is 343257678763. The reversal of 343257678720 is 27876752343.

343257678720 is a `hidden beast` number, since 3 + 43 + 2 + 576 + 7 + 8 + 7 + 20 = 666.

It is a super-3 number, since 3×343257678720³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9277234542 + ... + 9277234578.

Almost surely, 2^343257678720 is an apocalyptic number.

343257678720 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 343257678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759961893600).

343257678720 is an abundant number, since it is smaller than the sum of its proper divisors (1176666108480).

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

343257678720 is a wasteful number, since it uses less digits than its factorization.

343257678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 343257678720 in words is "three hundred forty-three billion, two hundred fifty-seven million, six hundred seventy-eight thousand, seven hundred twenty".