346089960 has 96 divisors (see below), whose sum is σ = 1131497640. Its totient is φ = 91740672.

The previous prime is 346089949. The next prime is 346089967. The reversal of 346089960 is 69980643.

346089960 is a `hidden beast` number, since 34 + 608 + 9 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345290724 + 799236 = 18582^2 + 894^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (346089967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59502 + ... + 65058.

Almost surely, 2^346089960 is an apocalyptic number.

346089960 is a gapful number since it is divisible by the number (30) 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 346089960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565748820).

346089960 is an abundant number, since it is smaller than the sum of its proper divisors (785407680).

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

346089960 is a wasteful number, since it uses less digits than its factorization.

346089960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 346089960 is about 18603.4932203605. The cubic root of 346089960 is about 702.0957329202.

The spelling of 346089960 in words is "three hundred forty-six million, eighty-nine thousand, nine hundred sixty".