349168257219600 has 2400 divisors, whose sum is σ = 1569068401667200. Its totient is φ = 73306579046400.

The previous prime is 349168257219599. The next prime is 349168257219601. The reversal of 349168257219600 is 6912752861943.

349168257219600 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 6 + 8 + 2 + 5 + 7 + 2 + 19 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (349168257219599) and next prime (349168257219601).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (349168257219601) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 71128181946 + ... + 71128186854.

It is a 1-persistent number, because it is pandigital, but 2⋅349168257219600 = 698336514439200 is not.

Almost surely, 2^{349168257219600} is an apocalyptic number.

349168257219600 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 349168257219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784534200833600).

349168257219600 is an abundant number, since it is smaller than the sum of its proper divisors (1219900144447600).

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

349168257219600 is a wasteful number, since it uses less digits than its factorization.

349168257219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 349168257219600 in words is "three hundred forty-nine trillion, one hundred sixty-eight billion, two hundred fifty-seven million, two hundred nineteen thousand, six hundred".