345003071400 has 144 divisors (see below), whose sum is σ = 1247761192860. Its totient is φ = 84923827200.

The previous prime is 345003071393. The next prime is 345003071417. The reversal of 345003071400 is 4170300543.

345003071400 is a `hidden beast` number, since 345 + 0 + 0 + 307 + 14 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156659223204 + 188343848196 = 395802^2 + 433986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7348461 + ... + 7395260.

Almost surely, 2^345003071400 is an apocalyptic number.

345003071400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345003071400 is an abundant number, since it is smaller than the sum of its proper divisors (902758121460).

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

345003071400 is a wasteful number, since it uses less digits than its factorization.

345003071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743756 (or 14743744 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 345003071400 its reverse (4170300543), we get a palindrome (349173371943).

The spelling of 345003071400 in words is "three hundred forty-five billion, three million, seventy-one thousand, four hundred".