34281720 has 144 divisors (see below), whose sum is σ = 122620680. Its totient is φ = 8300160.

The previous prime is 34281713. The next prime is 34281727. The reversal of 34281720 is 2718243.

It is an interprime number because it is at equal distance from previous prime (34281713) and next prime (34281727).

It is a super-3 number, since 3×34281720³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34281727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43167 + ... + 43953.

Almost surely, 2^34281720 is an apocalyptic number.

34281720 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 34281720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61310340).

34281720 is an abundant number, since it is smaller than the sum of its proper divisors (88338960).

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

34281720 is a wasteful number, since it uses less digits than its factorization.

34281720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34281720 is about 5855.0593506813. The cubic root of 34281720 is about 324.8534882022.

Adding to 34281720 its reverse (2718243), we get a palindrome (36999963).

The spelling of 34281720 in words is "thirty-four million, two hundred eighty-one thousand, seven hundred twenty".