34095728 has 30 divisors (see below), whose sum is σ = 69732144. Its totient is φ = 16147872.

The previous prime is 34095707. The next prime is 34095731. The reversal of 34095728 is 82759043.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 34095691 and 34095700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2825 + ... + 8727.

Almost surely, 2^34095728 is an apocalyptic number.

34095728 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 34095728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34866072).

34095728 is an abundant number, since it is smaller than the sum of its proper divisors (35636416).

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

34095728 is a wasteful number, since it uses less digits than its factorization.

34095728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 34095728 is about 5839.1547333497. The cubic root of 34095728 is about 324.2649359717.

The spelling of 34095728 in words is "thirty-four million, ninety-five thousand, seven hundred twenty-eight".