349943730444 has 288 divisors, whose sum is σ = 1161800640000. Its totient is φ = 86043617280.

The previous prime is 349943730421. The next prime is 349943730467. The reversal of 349943730444 is 444037349943.

349943730444 is a `hidden beast` number, since 3 + 4 + 99 + 43 + 73 + 0 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (349943730421) and next prime (349943730467).

It is a super-2 number, since 2×349943730444² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127297182 + ... + 127299930.

It is an arithmetic number, because the mean of its divisors is an integer number (4034030000).

Almost surely, 2^349943730444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349943730444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320000).

349943730444 is an abundant number, since it is smaller than the sum of its proper divisors (811856909556).

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

349943730444 is a wasteful number, since it uses less digits than its factorization.

349943730444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 349943730444 in words is "three hundred forty-nine billion, nine hundred forty-three million, seven hundred thirty thousand, four hundred forty-four".