348035835603456 has 5760 divisors, whose sum is σ = 1517499260259840. Its totient is φ = 74198915481600.

The previous prime is 348035835603419. The next prime is 348035835603457. The reversal of 348035835603456 is 654306538530843.

348035835603456 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 3 + 583 + 5 + 6 + 0 + 3 + 45 + 6 = 666.

It is a super-2 number, since 2×348035835603456² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 348035835603393 and 348035835603402.

It is not an unprimeable number, because it can be changed into a prime (348035835603457) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 1803294484896 + ... + 1803294485088.

It is an arithmetic number, because the mean of its divisors is an integer number (263454732684).

Almost surely, 2^{348035835603456} is an apocalyptic number.

348035835603456 is a gapful number since it is divisible by the number (36) 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 348035835603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758749630129920).

348035835603456 is an abundant number, since it is smaller than the sum of its proper divisors (1169463424656384).

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

348035835603456 is a wasteful number, since it uses less digits than its factorization.

348035835603456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 63.

The spelling of 348035835603456 in words is "three hundred forty-eight trillion, thirty-five billion, eight hundred thirty-five million, six hundred three thousand, four hundred fifty-six".