34691328 has 180 divisors, whose sum is σ = 118715520. Its totient is φ = 9870336.

The previous prime is 34691323. The next prime is 34691333. The reversal of 34691328 is 82319643.

It is an interprime number because it is at equal distance from previous prime (34691323) and next prime (34691333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 34691292 and 34691301.

It is not an unprimeable number, because it can be changed into a prime (34691323) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 145033 + ... + 145271.

Almost surely, 2^34691328 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 34691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59357760).

34691328 is an abundant number, since it is smaller than the sum of its proper divisors (84024192).

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

34691328 is an equidigital number, since it uses as much as digits as its factorization.

34691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34691328 is about 5889.9344648307. The cubic root of 34691328 is about 326.1421839538.

The spelling of 34691328 in words is "thirty-four million, six hundred ninety-one thousand, three hundred twenty-eight".