348373539072 has 324 divisors, whose sum is σ = 1117097694804. Its totient is φ = 104290467840.

The previous prime is 348373539043. The next prime is 348373539089. The reversal of 348373539072 is 270935373843.

348373539072 is a `hidden beast` number, since 3 + 4 + 8 + 37 + 3 + 539 + 0 + 72 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 481188096 + 347892350976 = 21936^2 + 589824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14394822 + ... + 14419002.

Almost surely, 2^348373539072 is an apocalyptic number.

348373539072 is a gapful number since it is divisible by the number (32) 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 348373539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558548847402).

348373539072 is an abundant number, since it is smaller than the sum of its proper divisors (768724155732).

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

348373539072 is a wasteful number, since it uses less digits than its factorization.

348373539072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24266 (or 24236 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 348373539072 in words is "three hundred forty-eight billion, three hundred seventy-three million, five hundred thirty-nine thousand, seventy-two".