348358111395840 has 5472 divisors, whose sum is σ = 1677634279199424. Its totient is φ = 68491306598400.

The previous prime is 348358111395821. The next prime is 348358111395869. The reversal of 348358111395840 is 48593111853843.

348358111395840 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 5 + 8 + 1 + 11 + 39 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3449090211790 + ... + 3449090211890.

It is an arithmetic number, because the mean of its divisors is an integer number (306585211842).

Almost surely, 2^{348358111395840} is an apocalyptic number.

348358111395840 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 348358111395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838817139599712).

348358111395840 is an abundant number, since it is smaller than the sum of its proper divisors (1329276167803584).

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

348358111395840 is an equidigital number, since it uses as much as digits as its factorization.

348358111395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 348358111395840 in words is "three hundred forty-eight trillion, three hundred fifty-eight billion, one hundred eleven million, three hundred ninety-five thousand, eight hundred forty".