347200247940 has 768 divisors, whose sum is σ = 1290350100480. Its totient is φ = 67910234112.

The previous prime is 347200247897. The next prime is 347200247963. The reversal of 347200247940 is 49742002743.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 347200247892 and 347200247901.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2733860157 + ... + 2733860283.

It is an arithmetic number, because the mean of its divisors is an integer number (1680143360).

Almost surely, 2^347200247940 is an apocalyptic number.

347200247940 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 347200247940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645175050240).

347200247940 is an abundant number, since it is smaller than the sum of its proper divisors (943149852540).

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

347200247940 is a wasteful number, since it uses less digits than its factorization.

347200247940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 347200247940 in words is "three hundred forty-seven billion, two hundred million, two hundred forty-seven thousand, nine hundred forty".