348875735040 has 1800 divisors, whose sum is σ = 1545798953160. Its totient is φ = 74912366592.

The previous prime is 348875735027. The next prime is 348875735057. The reversal of 348875735040 is 40537578843.

It is a happy number.

348875735040 is a `hidden beast` number, since 3 + 4 + 8 + 87 + 57 + 3 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98907734016 + 249968001024 = 314496^2 + 499968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9429073902 + ... + 9429073938.

Almost surely, 2^348875735040 is an apocalyptic number.

348875735040 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 348875735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772899476580).

348875735040 is an abundant number, since it is smaller than the sum of its proper divisors (1196923218120).

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

348875735040 is an equidigital number, since it uses as much as digits as its factorization.

348875735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 348875735040 in words is "three hundred forty-eight billion, eight hundred seventy-five million, seven hundred thirty-five thousand, forty".