34513728 has 56 divisors (see below), whose sum is σ = 96133920. Its totient is φ = 10897920.

The previous prime is 34513697. The next prime is 34513769. The reversal of 34513728 is 82731543.

It is a super-3 number, since 3×34513728³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 8378.

Almost surely, 2^34513728 is an apocalyptic number.

34513728 is a gapful number since it is divisible by the number (38) 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 34513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48066960).

34513728 is an abundant number, since it is smaller than the sum of its proper divisors (61620192).

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

34513728 is a wasteful number, since it uses less digits than its factorization.

34513728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9485 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 34513728 is about 5874.8385509731. The cubic root of 34513728 is about 325.5846769206.

The spelling of 34513728 in words is "thirty-four million, five hundred thirteen thousand, seven hundred twenty-eight".