346200480 has 120 divisors (see below), whose sum is σ = 1221844932. Its totient is φ = 92316672.

The previous prime is 346200443. The next prime is 346200493. The reversal of 346200480 is 84002643.

346200480 is a `hidden beast` number, since 34 + 620 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 325297296 + 20903184 = 18036^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 397 + ... + 26316.

Almost surely, 2^346200480 is an apocalyptic number.

346200480 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 346200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610922466).

346200480 is an abundant number, since it is smaller than the sum of its proper divisors (875644452).

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

346200480 is a wasteful number, since it uses less digits than its factorization.

346200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26740 (or 26723 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 346200480 is about 18606.4633931330. The cubic root of 346200480 is about 702.1704604680.

The spelling of 346200480 in words is "three hundred forty-six million, two hundred thousand, four hundred eighty".