344206986864 has 320 divisors, whose sum is σ = 1044317159424. Its totient is φ = 96835673088.

The previous prime is 344206986803. The next prime is 344206986931. The reversal of 344206986864 is 468689602443.

It is a super-3 number, since 3×344206986864³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344206986798 and 344206986807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28999459 + ... + 29011325.

Almost surely, 2^344206986864 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 344206986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522158579712).

344206986864 is an abundant number, since it is smaller than the sum of its proper divisors (700110172560).

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

344206986864 is a wasteful number, since it uses less digits than its factorization.

344206986864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12004 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 344206986864 in words is "three hundred forty-four billion, two hundred six million, nine hundred eighty-six thousand, eight hundred sixty-four".