354004312320 has 432 divisors, whose sum is σ = 1309283644032. Its totient is φ = 88091688960.

The previous prime is 354004312307. The next prime is 354004312349. The reversal of 354004312320 is 23213400453.

It is a super-2 number, since 2×354004312320² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10847067 + ... + 10879653.

It is an arithmetic number, because the mean of its divisors is an integer number (3030749176).

Almost surely, 2^354004312320 is an apocalyptic number.

354004312320 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 354004312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654641822016).

354004312320 is an abundant number, since it is smaller than the sum of its proper divisors (955279331712).

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

354004312320 is a wasteful number, since it uses less digits than its factorization.

354004312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32678 (or 32661 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 354004312320 its reverse (23213400453), we get a palindrome (377217712773).

The spelling of 354004312320 in words is "three hundred fifty-four billion, four million, three hundred twelve thousand, three hundred twenty".