349706649600 has 1539 divisors, whose sum is σ = 1601771758041. Its totient is φ = 72666316800.

The previous prime is 349706649587. The next prime is 349706649619. The reversal of 349706649600 is 6946607943.

The square root of 349706649600 is 591360.

It is a perfect power (a square), and thus also a powerful number.

349706649600 is a `hidden beast` number, since 3 + 4 + 97 + 0 + 66 + 496 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125894393856 + 223812255744 = 354816^2 + 473088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31791513595 + ... + 31791513605.

Almost surely, 2^349706649600 is an apocalyptic number.

349706649600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349706649600 is the 591360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349706649600

349706649600 is an abundant number, since it is smaller than the sum of its proper divisors (1252065108441).

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

349706649600 is an equidigital number, since it uses as much as digits as its factorization.

349706649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 349706649600 in words is "three hundred forty-nine billion, seven hundred six million, six hundred forty-nine thousand, six hundred".