349042848 has 192 divisors, whose sum is σ = 1192568832. Its totient is φ = 86676480.

The previous prime is 349042847. The next prime is 349042849. The reversal of 349042848 is 848240943.

It is an interprime number because it is at equal distance from previous prime (349042847) and next prime (349042849).

It is a super-2 number, since 2×349042848² = 243661819479902208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (349042843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168990 + ... + 171042.

It is an arithmetic number, because the mean of its divisors is an integer number (6211296).

Almost surely, 2^349042848 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 349042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596284416).

349042848 is an abundant number, since it is smaller than the sum of its proper divisors (843525984).

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

349042848 is a wasteful number, since it uses less digits than its factorization.

349042848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 349042848 is about 18682.6884574999. The cubic root of 349042848 is about 704.0868737490.

The spelling of 349042848 in words is "three hundred forty-nine million, forty-two thousand, eight hundred forty-eight".