349866021120 has 1080 divisors, whose sum is σ = 1441045509120. Its totient is φ = 72126996480.

The previous prime is 349866021079. The next prime is 349866021137. The reversal of 349866021120 is 21120668943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2754850497 + ... + 2754850623.

Almost surely, 2^349866021120 is an apocalyptic number.

349866021120 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 349866021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720522754560).

349866021120 is an abundant number, since it is smaller than the sum of its proper divisors (1091179488000).

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

349866021120 is an equidigital number, since it uses as much as digits as its factorization.

349866021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 349866021120 in words is "three hundred forty-nine billion, eight hundred sixty-six million, twenty-one thousand, one hundred twenty".