348227436960 has 1728 divisors, whose sum is σ = 1499862873600. Its totient is φ = 75461787648.

The previous prime is 348227436923. The next prime is 348227436967. The reversal of 348227436960 is 69634722843.

348227436960 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 274 + 369 + 6 + 0 = 666.

It is a super-3 number, since 3×348227436960³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 348227436897 and 348227436906.

It is not an unprimeable number, because it can be changed into a prime (348227436967) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4407942201 + ... + 4407942279.

It is an arithmetic number, because the mean of its divisors is an integer number (867976200).

Almost surely, 2^348227436960 is an apocalyptic number.

348227436960 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 348227436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749931436800).

348227436960 is an abundant number, since it is smaller than the sum of its proper divisors (1151635436640).

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

348227436960 is a wasteful number, since it uses less digits than its factorization.

348227436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 348227436960 in words is "three hundred forty-eight billion, two hundred twenty-seven million, four hundred thirty-six thousand, nine hundred sixty".