348820813440 has 768 divisors, whose sum is σ = 1337608546560. Its totient is φ = 83754147840.

The previous prime is 348820813433. The next prime is 348820813457. The reversal of 348820813440 is 44318028843.

It is a happy number.

348820813440 is a `hidden beast` number, since 3 + 488 + 20 + 81 + 34 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1326314749 + ... + 1326315011.

It is an arithmetic number, because the mean of its divisors is an integer number (1741677795).

Almost surely, 2^348820813440 is an apocalyptic number.

348820813440 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 348820813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668804273280).

348820813440 is an abundant number, since it is smaller than the sum of its proper divisors (988787733120).

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

348820813440 is a wasteful number, since it uses less digits than its factorization.

348820813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 348820813440 in words is "three hundred forty-eight billion, eight hundred twenty million, eight hundred thirteen thousand, four hundred forty".