349402248 has 320 divisors, whose sum is σ = 1158696000. Its totient is φ = 97417728.

The previous prime is 349402231. The next prime is 349402297. The reversal of 349402248 is 842204943.

349402248 is a `hidden beast` number, since 3 + 4 + 9 + 402 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5922043 + ... + 5922101.

It is an arithmetic number, because the mean of its divisors is an integer number (3620925).

Almost surely, 2^349402248 is an apocalyptic number.

349402248 is a gapful number since it is divisible by the number (38) 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 349402248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579348000).

349402248 is an abundant number, since it is smaller than the sum of its proper divisors (809293752).

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

349402248 is a wasteful number, since it uses less digits than its factorization.

349402248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 349402248 is about 18692.3045128202. The cubic root of 349402248 is about 704.3284506032.

The spelling of 349402248 in words is "three hundred forty-nine million, four hundred two thousand, two hundred forty-eight".