349233721600 has 243 divisors, whose sum is σ = 884889396223. Its totient is φ = 136459755520.

The previous prime is 349233721583. The next prime is 349233721601. The reversal of 349233721600 is 6127332943.

The square root of 349233721600 is 590960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 72675533056 + 276558188544 = 269584^2 + 525888^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349233721601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3923974356 + ... + 3923974444.

Almost surely, 2^349233721600 is an apocalyptic number.

349233721600 is the 590960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349233721600

349233721600 is an abundant number, since it is smaller than the sum of its proper divisors (535655674623).

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

349233721600 is an frugal number, since it uses more digits than its factorization.

349233721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 349233721600 in words is "three hundred forty-nine billion, two hundred thirty-three million, seven hundred twenty-one thousand, six hundred".