346349952 has 192 divisors, whose sum is σ = 1108760400. Its totient is φ = 106389504.

The previous prime is 346349923. The next prime is 346349977. The reversal of 346349952 is 259943643.

346349952 is a `hidden beast` number, since 3 + 4 + 634 + 9 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 346349898 and 346349907.

It is a congruent number.

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, 583768 + ... + 584360.

Almost surely, 2^346349952 is an apocalyptic number.

346349952 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 346349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554380200).

346349952 is an abundant number, since it is smaller than the sum of its proper divisors (762410448).

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

346349952 is a wasteful number, since it uses less digits than its factorization.

346349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 611 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 346349952 is about 18610.4796284244. The cubic root of 346349952 is about 702.2714999216.

The spelling of 346349952 in words is "three hundred forty-six million, three hundred forty-nine thousand, nine hundred fifty-two".