34493328 has 60 divisors (see below), whose sum is σ = 99660288. Its totient is φ = 11125440.

The previous prime is 34493293. The next prime is 34493369. The reversal of 34493328 is 82339443.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 34493292 and 34493301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601 + ... + 8327.

Almost surely, 2^34493328 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 34493328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49830144).

34493328 is an abundant number, since it is smaller than the sum of its proper divisors (65166960).

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

34493328 is a wasteful number, since it uses less digits than its factorization.

34493328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7763 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34493328 is about 5873.1020764158. The cubic root of 34493328 is about 325.5205165914.

The spelling of 34493328 in words is "thirty-four million, four hundred ninety-three thousand, three hundred twenty-eight".