346332090 has 64 divisors (see below), whose sum is σ = 901216512. Its totient is φ = 84672000.

The previous prime is 346332089. The next prime is 346332101. The reversal of 346332090 is 90233643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 14.

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, 55950 + ... + 61830.

It is an arithmetic number, because the mean of its divisors is an integer number (14081508).

Almost surely, 2^346332090 is an apocalyptic number.

346332090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346332090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450608256).

346332090 is an abundant number, since it is smaller than the sum of its proper divisors (554884422).

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

346332090 is a wasteful number, since it uses less digits than its factorization.

346332090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055.

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 346332090 is about 18609.9997313272. Note that the first 3 decimals coincide. The cubic root of 346332090 is about 702.2594271716.

It can be divided in two parts, 3463 and 32090, that added together give a palindrome (35553).

The spelling of 346332090 in words is "three hundred forty-six million, three hundred thirty-two thousand, ninety".