34468720 has 160 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 10982400.

The previous prime is 34468711. The next prime is 34468723. The reversal of 34468720 is 2786443.

34468720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34468720³ (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 (34468723) 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, 263055 + ... + 263185.

Almost surely, 2^34468720 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 34468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

34468720 is an abundant number, since it is smaller than the sum of its proper divisors (64524944).

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

34468720 is a wasteful number, since it uses less digits than its factorization.

34468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 34468720 is about 5871.0067279812. The cubic root of 34468720 is about 325.4430879503.

The spelling of 34468720 in words is "thirty-four million, four hundred sixty-eight thousand, seven hundred twenty".