349200921600 has 396 divisors, whose sum is σ = 1256942803116. Its totient is φ = 92625960960.

The previous prime is 349200921599. The next prime is 349200921613. The reversal of 349200921600 is 6129002943.

349200921600 is a `hidden beast` number, since 3 + 4 + 9 + 20 + 0 + 9 + 21 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 110713245696 + 238487675904 = 332736^2 + 488352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44463274 + ... + 44471126.

Almost surely, 2^349200921600 is an apocalyptic number.

349200921600 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 349200921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628471401558).

349200921600 is an abundant number, since it is smaller than the sum of its proper divisors (907741881516).

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

349200921600 is a wasteful number, since it uses less digits than its factorization.

349200921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 349200921600 in words is "three hundred forty-nine billion, two hundred million, nine hundred twenty-one thousand, six hundred".