355004000312340 has 48 divisors (see below), whose sum is σ = 999756930388608. Its totient is φ = 94120521081984.

The previous prime is 355004000312333. The next prime is 355004000312359. The reversal of 355004000312340 is 43213000400553.

It is a super-3 number, since 3×355004000312340³ (a number of 45 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 355004000312298 and 355004000312307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17100374992 + ... + 17100395751.

It is an arithmetic number, because the mean of its divisors is an integer number (20828269383096).

Almost surely, 2^{355004000312340} is an apocalyptic number.

355004000312340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355004000312340 is an abundant number, since it is smaller than the sum of its proper divisors (644752930076268).

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

355004000312340 is a wasteful number, since it uses less digits than its factorization.

355004000312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34200770928 (or 34200770926 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 355004000312340 its reverse (43213000400553), we get a palindrome (398217000712893).

The spelling of 355004000312340 in words is "three hundred fifty-five trillion, four billion, three hundred twelve thousand, three hundred forty".