348257952 has 144 divisors (see below), whose sum is σ = 1138318272. Its totient is φ = 98933760.

The previous prime is 348257947. The next prime is 348257963. The reversal of 348257952 is 259752843.

348257952 is a `hidden beast` number, since 348 + 257 + 9 + 52 = 666.

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

It is a super-2 number, since 2×348257952² = 242567202262468608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348257898 and 348257907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457252 + ... + 458012.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2^348257952 is an apocalyptic number.

348257952 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 348257952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569159136).

348257952 is an abundant number, since it is smaller than the sum of its proper divisors (790060320).

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

348257952 is a wasteful number, since it uses less digits than its factorization.

348257952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 348257952 is about 18661.6706647610. The cubic root of 348257952 is about 703.5587153574.

The spelling of 348257952 in words is "three hundred forty-eight million, two hundred fifty-seven thousand, nine hundred fifty-two".