347212590340 has 1152 divisors, whose sum is σ = 1111980441600. Its totient is φ = 88318771200.

The previous prime is 347212590211. The next prime is 347212590353. The reversal of 347212590340 is 43095212743.

It is a super-2 number, since 2×347212590340² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 347212590293 and 347212590302.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3901265016 + ... + 3901265104.

It is an arithmetic number, because the mean of its divisors is an integer number (965260800).

Almost surely, 2^347212590340 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 347212590340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555990220800).

347212590340 is an abundant number, since it is smaller than the sum of its proper divisors (764767851260).

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

347212590340 is a wasteful number, since it uses less digits than its factorization.

347212590340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 347212590340 in words is "three hundred forty-seven billion, two hundred twelve million, five hundred ninety thousand, three hundred forty".