347249952 has 144 divisors (see below), whose sum is σ = 1177787520. Its totient is φ = 94887936.

The previous prime is 347249933. The next prime is 347249957. The reversal of 347249952 is 259942743.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 347249898 and 347249907.

It is not an unprimeable number, because it can be changed into a prime (347249957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42624 + ... + 50112.

It is an arithmetic number, because the mean of its divisors is an integer number (8179080).

Almost surely, 2^347249952 is an apocalyptic number.

347249952 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 347249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588893760).

347249952 is an abundant number, since it is smaller than the sum of its proper divisors (830537568).

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

347249952 is a wasteful number, since it uses less digits than its factorization.

347249952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7524 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 347249952 is about 18634.6438656605. The cubic root of 347249952 is about 702.8792644804.

The spelling of 347249952 in words is "three hundred forty-seven million, two hundred forty-nine thousand, nine hundred fifty-two".