354212614320 has 80 divisors (see below), whose sum is σ = 1135923233760. Its totient is φ = 91199567872.

The previous prime is 354212614313. The next prime is 354212614321. The reversal of 354212614320 is 23416212453.

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

It is a super-3 number, since 3×354212614320³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (354212614321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25439349 + ... + 25453268.

It is an arithmetic number, because the mean of its divisors is an integer number (14199040422).

Almost surely, 2^354212614320 is an apocalyptic number.

354212614320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354212614320 is an abundant number, since it is smaller than the sum of its proper divisors (781710619440).

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

354212614320 is a wasteful number, since it uses less digits than its factorization.

354212614320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50892662 (or 50892656 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 354212614320 its reverse (23416212453), we get a palindrome (377628826773).

The spelling of 354212614320 in words is "three hundred fifty-four billion, two hundred twelve million, six hundred fourteen thousand, three hundred twenty".