349060992 has 256 divisors, whose sum is σ = 1128038400. Its totient is φ = 93542400.

The previous prime is 349060969. The next prime is 349061033. The reversal of 349060992 is 299060943.

It is a super-2 number, since 2×349060992² = 243687152272048128, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4916317 + ... + 4916387.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2^349060992 is an apocalyptic number.

349060992 is a gapful number since it is divisible by the number (32) 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 349060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019200).

349060992 is an abundant number, since it is smaller than the sum of its proper divisors (778977408).

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

349060992 is a wasteful number, since it uses less digits than its factorization.

349060992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 349060992 is about 18683.1740344086. The cubic root of 349060992 is about 704.0990735223.

The spelling of 349060992 in words is "three hundred forty-nine million, sixty thousand, nine hundred ninety-two".