343362012840 has 768 divisors, whose sum is σ = 1430686333440. Its totient is φ = 69341184000.

The previous prime is 343362012839. The next prime is 343362012859. The reversal of 343362012840 is 48210263343.

343362012840 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 620 + 1 + 28 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 585971²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343362012795 and 343362012804.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 451198060 + ... + 451198820.

It is an arithmetic number, because the mean of its divisors is an integer number (1862872830).

Almost surely, 2^343362012840 is an apocalyptic number.

343362012840 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 343362012840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715343166720).

343362012840 is an abundant number, since it is smaller than the sum of its proper divisors (1087324320600).

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

343362012840 is a wasteful number, since it uses less digits than its factorization.

343362012840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 343362012840 in words is "three hundred forty-three billion, three hundred sixty-two million, twelve thousand, eight hundred forty".