345282178000 has 80 divisors (see below), whose sum is σ = 863681841360. Its totient is φ = 133350336000.

The previous prime is 345282177991. The next prime is 345282178039. The reversal of 345282178000 is 871282543.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 163093207104 + 182188970896 = 403848^2 + 426836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2918571 + ... + 3034570.

It is an arithmetic number, because the mean of its divisors is an integer number (10796023017).

Almost surely, 2^345282178000 is an apocalyptic number.

It is an amenable number.

345282178000 is an abundant number, since it is smaller than the sum of its proper divisors (518399663360).

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

345282178000 is a wasteful number, since it uses less digits than its factorization.

345282178000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953193 (or 5953177 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 345282178000 in words is "three hundred forty-five billion, two hundred eighty-two million, one hundred seventy-eight thousand".