349152 has 24 divisors (see below), whose sum is σ = 916776. Its totient is φ = 116352.

The previous prime is 349133. The next prime is 349171. The reversal of 349152 is 251943.

It is an interprime number because it is at equal distance from previous prime (349133) and next prime (349171).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1723 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (38199).

2³⁴⁹¹⁵² is an apocalyptic number.

349152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349152 is an abundant number, since it is smaller than the sum of its proper divisors (567624).

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

349152 is a wasteful number, since it uses less digits than its factorization.

349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3642 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 349152 is about 590.8908528654. The cubic root of 349152 is about 70.4160259659.

It can be divided in two parts, 3 and 49152, that multiplied together give a square (147456 = 384²).

The spelling of 349152 in words is "three hundred forty-nine thousand, one hundred fifty-two".