348394341335040 has 7616 divisors, whose sum is σ = 1774469379981312. Its totient is φ = 63293305651200.

The previous prime is 348394341335023. The next prime is 348394341335129. The reversal of 348394341335040 is 40533143493843.

It is a happy number.

348394341335040 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 94 + 3 + 41 + 3 + 3 + 504 + 0 = 666.

It is a super-2 number, since 2×348394341335040² (a number of 30 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7412645560297 + ... + 7412645560343.

Almost surely, 2^{348394341335040} is an apocalyptic number.

348394341335040 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 348394341335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887234689990656).

348394341335040 is an abundant number, since it is smaller than the sum of its proper divisors (1426075038646272).

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

348394341335040 is an equidigital number, since it uses as much as digits as its factorization.

348394341335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 348394341335040 in words is "three hundred forty-eight trillion, three hundred ninety-four billion, three hundred forty-one million, three hundred thirty-five thousand, forty".