349343839680 has 448 divisors, whose sum is σ = 1230112327680. Its totient is φ = 83290521600.

The previous prime is 349343839673. The next prime is 349343839697. The reversal of 349343839680 is 86938343943.

It is a super-2 number, since 2×349343839680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 264453420 + ... + 264454740.

Almost surely, 2^349343839680 is an apocalyptic number.

349343839680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349343839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615056163840).

349343839680 is an abundant number, since it is smaller than the sum of its proper divisors (880768488000).

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

349343839680 is a wasteful number, since it uses less digits than its factorization.

349343839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 60.

The spelling of 349343839680 in words is "three hundred forty-nine billion, three hundred forty-three million, eight hundred thirty-nine thousand, six hundred eighty".