349680297600 has 576 divisors, whose sum is σ = 1344067545600. Its totient is φ = 86311526400.

The previous prime is 349680297583. The next prime is 349680297601. The reversal of 349680297600 is 6792086943.

It is a happy number.

349680297600 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 8 + 0 + 29 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (349680297601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20525886 + ... + 20542914.

It is an arithmetic number, because the mean of its divisors is an integer number (2333450600).

Almost surely, 2^349680297600 is an apocalyptic number.

349680297600 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 349680297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672033772800).

349680297600 is an abundant number, since it is smaller than the sum of its proper divisors (994387248000).

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

349680297600 is a wasteful number, since it uses less digits than its factorization.

349680297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17113 (or 17093 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 349680297600 in words is "three hundred forty-nine billion, six hundred eighty million, two hundred ninety-seven thousand, six hundred".