347116806400 has 972 divisors, whose sum is σ = 1130989612032. Its totient is φ = 103255326720.

The previous prime is 347116806341. The next prime is 347116806427. The reversal of 347116806400 is 4608611743.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2733203137 + ... + 2733203263.

Almost surely, 2^347116806400 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 347116806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565494806016).

347116806400 is an abundant number, since it is smaller than the sum of its proper divisors (783872805632).

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

347116806400 is a wasteful number, since it uses less digits than its factorization.

347116806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 347116806400 in words is "three hundred forty-seven billion, one hundred sixteen million, eight hundred six thousand, four hundred".