34766128 has 40 divisors (see below), whose sum is σ = 71959680. Its totient is φ = 16235520.

The previous prime is 34766117. The next prime is 34766129. The reversal of 34766128 is 82166743.

It is a super-3 number, since 3×34766128³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34766129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13176 + ... + 15592.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^34766128 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 34766128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979840).

34766128 is an abundant number, since it is smaller than the sum of its proper divisors (37193552).

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

34766128 is a wasteful number, since it uses less digits than its factorization.

34766128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2479 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 34766128 is about 5896.2808616958. The cubic root of 34766128 is about 326.3764204259.

It can be divided in two parts, 3476 and 6128, that added together give a square (9604 = 98²).

The spelling of 34766128 in words is "thirty-four million, seven hundred sixty-six thousand, one hundred twenty-eight".