348509952 has 270 divisors, whose sum is σ = 1212382248. Its totient is φ = 99574272.

The previous prime is 348509933. The next prime is 348509977. The reversal of 348509952 is 259905843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 348509898 and 348509907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 49787133 + ... + 49787139.

Almost surely, 2^348509952 is an apocalyptic number.

348509952 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 348509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606191124).

348509952 is an abundant number, since it is smaller than the sum of its proper divisors (863872296).

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

348509952 is an frugal number, since it uses more digits than its factorization.

348509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 348509952 is about 18668.4212508718. The cubic root of 348509952 is about 703.7283731722.

The spelling of 348509952 in words is "three hundred forty-eight million, five hundred nine thousand, nine hundred fifty-two".