349444368 has 200 divisors, whose sum is σ = 1245211968. Its totient is φ = 92130048.

The previous prime is 349444331. The next prime is 349444373. The reversal of 349444368 is 863444943.

It is a happy number.

It is a super-2 number, since 2×349444368² = 244222732653838848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116455 + ... + 119417.

Almost surely, 2^349444368 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 349444368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622605984).

349444368 is an abundant number, since it is smaller than the sum of its proper divisors (895767600).

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

349444368 is a wasteful number, since it uses less digits than its factorization.

349444368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2988 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 349444368 is about 18693.4311457260. The cubic root of 349444368 is about 704.3567514346.

The spelling of 349444368 in words is "three hundred forty-nine million, four hundred forty-four thousand, three hundred sixty-eight".