349162848 has 72 divisors (see below), whose sum is σ = 1045207800. Its totient is φ = 110260224.

The previous prime is 349162843. The next prime is 349162873. The reversal of 349162848 is 848261943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×349162848² = 243829388846942208, which contains 22 as substring.

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 (349162843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26433 + ... + 37376.

It is an arithmetic number, because the mean of its divisors is an integer number (14516775).

Almost surely, 2^349162848 is an apocalyptic number.

349162848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

349162848 is an abundant number, since it is smaller than the sum of its proper divisors (696044952).

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

349162848 is a wasteful number, since it uses less digits than its factorization.

349162848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63844 (or 63833 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 349162848 is about 18685.8997107445. The cubic root of 349162848 is about 704.1675522337.

The spelling of 349162848 in words is "three hundred forty-nine million, one hundred sixty-two thousand, eight hundred forty-eight".