34260720 has 160 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 8266752.

The previous prime is 34260719. The next prime is 34260739. The reversal of 34260720 is 2706243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 246411 + ... + 246549.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^34260720 is an apocalyptic number.

34260720 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 34260720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

34260720 is an abundant number, since it is smaller than the sum of its proper divisors (82398480).

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

34260720 is a wasteful number, since it uses less digits than its factorization.

34260720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 34260720 is about 5853.2657551148. The cubic root of 34260720 is about 324.7871426717.

Adding to 34260720 its reverse (2706243), we get a palindrome (36966963).

It can be divided in two parts, 34260 and 720, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 34260720 in words is "thirty-four million, two hundred sixty thousand, seven hundred twenty".