349419228300 has 432 divisors, whose sum is σ = 1191871632000. Its totient is φ = 87804259200.

The previous prime is 349419228293. The next prime is 349419228307. The reversal of 349419228300 is 3822914943.

349419228300 is a `hidden beast` number, since 3 + 4 + 9 + 419 + 228 + 3 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349419228293) and next prime (349419228307).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (349419228307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205660851 + ... + 205662549.

Almost surely, 2^349419228300 is an apocalyptic number.

349419228300 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 349419228300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595935816000).

349419228300 is an abundant number, since it is smaller than the sum of its proper divisors (842452403700).

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

349419228300 is a wasteful number, since it uses less digits than its factorization.

349419228300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 349419228300 in words is "three hundred forty-nine billion, four hundred nineteen million, two hundred twenty-eight thousand, three hundred".