343795995648 has 528 divisors, whose sum is σ = 1214681022464. Its totient is φ = 95043870720.

The previous prime is 343795995643. The next prime is 343795995709. The reversal of 343795995648 is 846599597343.

343795995648 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 9 + 59 + 9 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343795995643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53993361 + ... + 53999727.

Almost surely, 2^343795995648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343795995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607340511232).

343795995648 is an abundant number, since it is smaller than the sum of its proper divisors (870885026816).

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

343795995648 is an equidigital number, since it uses as much as digits as its factorization.

343795995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6410 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 343795995648 in words is "three hundred forty-three billion, seven hundred ninety-five million, nine hundred ninety-five thousand, six hundred forty-eight".