349798176 has 240 divisors, whose sum is σ = 1267003584. Its totient is φ = 92192256.

The previous prime is 349798139. The next prime is 349798177. The reversal of 349798176 is 671897943.

It is a happy number.

349798176 is a `hidden beast` number, since 3 + 497 + 9 + 81 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349798177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235131 + ... + 236613.

Almost surely, 2^349798176 is an apocalyptic number.

349798176 is a gapful number since it is divisible by the number (36) 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 349798176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633501792).

349798176 is an abundant number, since it is smaller than the sum of its proper divisors (917205408).

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

349798176 is a wasteful number, since it uses less digits than its factorization.

349798176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1508 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 349798176 is about 18702.8921827615. The cubic root of 349798176 is about 704.5943886832.

It can be divided in two parts, 34979817 and 6, that multiplied together give a palindrome (209878902).

The spelling of 349798176 in words is "three hundred forty-nine million, seven hundred ninety-eight thousand, one hundred seventy-six".