343284087960 has 224 divisors, whose sum is σ = 1263332857680. Its totient is φ = 83220307200.

The previous prime is 343284087943. The next prime is 343284087973. The reversal of 343284087960 is 69780482343.

343284087960 is a `hidden beast` number, since 3 + 432 + 8 + 40 + 87 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 343284087897 and 343284087906.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 214351 + ... + 855870.

Almost surely, 2^343284087960 is an apocalyptic number.

343284087960 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 343284087960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631666428840).

343284087960 is an abundant number, since it is smaller than the sum of its proper divisors (920048769720).

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

343284087960 is a wasteful number, since it uses less digits than its factorization.

343284087960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070261 (or 1070242 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 343284087960 in words is "three hundred forty-three billion, two hundred eighty-four million, eighty-seven thousand, nine hundred sixty".