34133728 has 48 divisors (see below), whose sum is σ = 73059840. Its totient is φ = 15638400.

The previous prime is 34133707. The next prime is 34133731. The reversal of 34133728 is 82733143.

It is a super-3 number, since 3×34133728³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 34133728.

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, 17943 + ... + 19753.

It is an arithmetic number, because the mean of its divisors is an integer number (1522080).

Almost surely, 2^34133728 is an apocalyptic number.

34133728 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 34133728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36529920).

34133728 is an abundant number, since it is smaller than the sum of its proper divisors (38926112).

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

34133728 is a wasteful number, since it uses less digits than its factorization.

34133728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 34133728 is about 5842.4077228485. The cubic root of 34133728 is about 324.3853566562.

The spelling of 34133728 in words is "thirty-four million, one hundred thirty-three thousand, seven hundred twenty-eight".