348016803840 has 408 divisors, whose sum is σ = 1214556314400. Its totient is φ = 92182413312.

The previous prime is 348016803773. The next prime is 348016803851. The reversal of 348016803840 is 48308610843.

348016803840 is a `hidden beast` number, since 3 + 480 + 16 + 80 + 3 + 84 + 0 = 666.

It is a super-2 number, since 2×348016803840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586874584 + ... + 586875176.

Almost surely, 2^348016803840 is an apocalyptic number.

348016803840 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 348016803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607278157200).

348016803840 is an abundant number, since it is smaller than the sum of its proper divisors (866539510560).

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

348016803840 is an equidigital number, since it uses as much as digits as its factorization.

348016803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 348016803840 in words is "three hundred forty-eight billion, sixteen million, eight hundred three thousand, eight hundred forty".