346981152 has 144 divisors (see below), whose sum is σ = 1122115680. Its totient is φ = 93284352.

The previous prime is 346981139. The next prime is 346981181. The reversal of 346981152 is 251189643.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 346981152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77799 + ... + 82137.

It is an arithmetic number, because the mean of its divisors is an integer number (7792470).

Almost surely, 2^346981152 is an apocalyptic number.

346981152 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 346981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

346981152 is an abundant number, since it is smaller than the sum of its proper divisors (775134528).

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

346981152 is a wasteful number, since it uses less digits than its factorization.

346981152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4368 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 346981152 is about 18627.4300965002. The cubic root of 346981152 is about 702.6978555593.

The spelling of 346981152 in words is "three hundred forty-six million, nine hundred eighty-one thousand, one hundred fifty-two".