349996147200 has 720 divisors, whose sum is σ = 1451872895616. Its totient is φ = 78859468800.

The previous prime is 349996147199. The next prime is 349996147213. The reversal of 349996147200 is 2741699943.

349996147200 is a `hidden beast` number, since 3 + 499 + 9 + 6 + 147 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57251344 + ... + 57257456.

Almost surely, 2^349996147200 is an apocalyptic number.

349996147200 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 349996147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725936447808).

349996147200 is an abundant number, since it is smaller than the sum of its proper divisors (1101876748416).

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

349996147200 is a wasteful number, since it uses less digits than its factorization.

349996147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 349996147200 in words is "three hundred forty-nine billion, nine hundred ninety-six million, one hundred forty-seven thousand, two hundred".