349321665960 has 896 divisors, whose sum is σ = 1314537984000. Its totient is φ = 83104040448.

The previous prime is 349321665929. The next prime is 349321665961. The reversal of 349321665960 is 69566123943.

349321665960 is a `hidden beast` number, since 3 + 4 + 9 + 32 + 16 + 6 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 349321665897 and 349321665906.

It is not an unprimeable number, because it can be changed into a prime (349321665961) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1006690507 + ... + 1006690853.

Almost surely, 2^349321665960 is an apocalyptic number.

349321665960 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 349321665960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657268992000).

349321665960 is an abundant number, since it is smaller than the sum of its proper divisors (965216318040).

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

349321665960 is a wasteful number, since it uses less digits than its factorization.

349321665960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 349321665960 in words is "three hundred forty-nine billion, three hundred twenty-one million, six hundred sixty-five thousand, nine hundred sixty".