348100103440 has 80 divisors (see below), whose sum is σ = 824903314416. Its totient is φ = 136563148800.

The previous prime is 348100103437. The next prime is 348100103459. The reversal of 348100103440 is 44301001843.

It can be written as a sum of positive squares in 8 ways, for example, as 90779279616 + 257320823824 = 301296^2 + 507268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 348100103399 and 348100103408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12965230 + ... + 12992050.

Almost surely, 2^348100103440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348100103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412451657208).

348100103440 is an abundant number, since it is smaller than the sum of its proper divisors (476803210976).

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

348100103440 is a wasteful number, since it uses less digits than its factorization.

348100103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29948 (or 29942 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 348100103440 in words is "three hundred forty-eight billion, one hundred million, one hundred three thousand, four hundred forty".