354214512 has 160 divisors (see below), whose sum is σ = 1049932800. Its totient is φ = 114296832.

The previous prime is 354214507. The next prime is 354214517. The reversal of 354214512 is 215412453.

It is an interprime number because it is at equal distance from previous prime (354214507) and next prime (354214517).

It is a super-3 number, since 3×354214512³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4800) is a multiple of the sum of its prime factors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354214517) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3310363 + ... + 3310469.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^354214512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354214512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

354214512 is an abundant number, since it is smaller than the sum of its proper divisors (695718288).

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

354214512 is a wasteful number, since it uses less digits than its factorization.

354214512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 354214512 is about 18820.5874509804. The cubic root of 354214512 is about 707.5472543531.

Adding to 354214512 its reverse (215412453), we get a palindrome (569626965).

The spelling of 354214512 in words is "three hundred fifty-four million, two hundred fourteen thousand, five hundred twelve".