348089616 has 160 divisors (see below), whose sum is σ = 1161830400. Its totient is φ = 97718400.

The previous prime is 348089587. The next prime is 348089627. The reversal of 348089616 is 616980843.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177441 + ... + 179391.

It is an arithmetic number, because the mean of its divisors is an integer number (7261440).

Almost surely, 2^348089616 is an apocalyptic number.

348089616 is a gapful number since it is divisible by the number (36) 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 348089616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580915200).

348089616 is an abundant number, since it is smaller than the sum of its proper divisors (813740784).

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

348089616 is a wasteful number, since it uses less digits than its factorization.

348089616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 348089616 is about 18657.1599124840. The cubic root of 348089616 is about 703.4453383364.

It can be divided in two parts, 3480 and 89616, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 348089616 in words is "three hundred forty-eight million, eighty-nine thousand, six hundred sixteen".