348395149440 has 1152 divisors, whose sum is σ = 1419112515600. Its totient is φ = 78394687488.

The previous prime is 348395149363. The next prime is 348395149441. The reversal of 348395149440 is 44941593843.

348395149440 is a `hidden beast` number, since 3 + 4 + 8 + 39 + 514 + 94 + 4 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 24779797056 + 323615352384 = 157416^2 + 568872^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348395149441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 612293476 + ... + 612294044.

Almost surely, 2^348395149440 is an apocalyptic number.

348395149440 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 348395149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709556257800).

348395149440 is an abundant number, since it is smaller than the sum of its proper divisors (1070717366160).

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

348395149440 is a wasteful number, since it uses less digits than its factorization.

348395149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 348395149440 in words is "three hundred forty-eight billion, three hundred ninety-five million, one hundred forty-nine thousand, four hundred forty".