349122852000 has 768 divisors, whose sum is σ = 1377681177600. Its totient is φ = 85365964800.

The previous prime is 349122851983. The next prime is 349122852011. The reversal of 349122852000 is 258221943.

It is a happy number.

349122852000 is a `hidden beast` number, since 3 + 4 + 9 + 122 + 8 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×349122852000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234467256 + ... + 234468744.

It is an arithmetic number, because the mean of its divisors is an integer number (1793855700).

Almost surely, 2^349122852000 is an apocalyptic number.

349122852000 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 349122852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688840588800).

349122852000 is an abundant number, since it is smaller than the sum of its proper divisors (1028558325600).

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

349122852000 is a wasteful number, since it uses less digits than its factorization.

349122852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 349122852000 in words is "three hundred forty-nine billion, one hundred twenty-two million, eight hundred fifty-two thousand".