349974847200 has 1152 divisors, whose sum is σ = 1373672079360. Its totient is φ = 76446720000.

The previous prime is 349974847193. The next prime is 349974847217. The reversal of 349974847200 is 2748479943.

It is a super-3 number, since 3×349974847200³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1104021442 + ... + 1104021758.

It is an arithmetic number, because the mean of its divisors is an integer number (1192423680).

Almost surely, 2^349974847200 is an apocalyptic number.

349974847200 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 349974847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686836039680).

349974847200 is an abundant number, since it is smaller than the sum of its proper divisors (1023697232160).

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

349974847200 is a wasteful number, since it uses less digits than its factorization.

349974847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 349974847200 in words is "three hundred forty-nine billion, nine hundred seventy-four million, eight hundred forty-seven thousand, two hundred".