345828914280 has 96 divisors (see below), whose sum is σ = 1127944101960. Its totient is φ = 91892828160.

The previous prime is 345828914267. The next prime is 345828914311. The reversal of 345828914280 is 82419828543.

345828914280 is a `hidden beast` number, since 3 + 458 + 28 + 91 + 4 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 333236034756 + 12592879524 = 577266^2 + 112218^2 .

It is an unprimeable number.

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, 1608157 + ... + 1810476.

Almost surely, 2^345828914280 is an apocalyptic number.

345828914280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345828914280 is an abundant number, since it is smaller than the sum of its proper divisors (782115187680).

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

345828914280 is a wasteful number, since it uses less digits than its factorization.

345828914280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418931 (or 3418924 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 345828914280 in words is "three hundred forty-five billion, eight hundred twenty-eight million, nine hundred fourteen thousand, two hundred eighty".