34518720 has 112 divisors (see below), whose sum is σ = 112398048. Its totient is φ = 8970240.

The previous prime is 34518719. The next prime is 34518769. The reversal of 34518720 is 2781543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 38922 + ... + 39798.

It is an arithmetic number, because the mean of its divisors is an integer number (1003554).

Almost surely, 2^34518720 is an apocalyptic number.

34518720 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 34518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56199024).

34518720 is an abundant number, since it is smaller than the sum of its proper divisors (77879328).

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

34518720 is a wasteful number, since it uses less digits than its factorization.

34518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 34518720 is about 5875.2633983507. The cubic root of 34518720 is about 325.6003734800.

The spelling of 34518720 in words is "thirty-four million, five hundred eighteen thousand, seven hundred twenty".