344002213102240 has 192 divisors, whose sum is σ = 1066571455703040. Its totient is φ = 101578233738240.

The previous prime is 344002213102213. The next prime is 344002213102279. The reversal of 344002213102240 is 42201312200443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 344002213102199 and 344002213102208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734562172 + ... + 735030331.

It is an arithmetic number, because the mean of its divisors is an integer number (5555059665120).

Almost surely, 2^{344002213102240} is an apocalyptic number.

It is an amenable number.

344002213102240 is an abundant number, since it is smaller than the sum of its proper divisors (722569242600800).

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

344002213102240 is a wasteful number, since it uses less digits than its factorization.

344002213102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469592555 (or 1469592547 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 344002213102240 its reverse (42201312200443), we get a palindrome (386203525302683).

The spelling of 344002213102240 in words is "three hundred forty-four trillion, two billion, two hundred thirteen million, one hundred two thousand, two hundred forty".