34803328 has 96 divisors (see below), whose sum is σ = 83721600. Its totient is φ = 14353920.

The previous prime is 34803319. The next prime is 34803331. The reversal of 34803328 is 82330843.

It is a super-2 number, since 2×34803328² = 2422543279751168, which contains 22 as substring.

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 34803328.

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, 194343 + ... + 194521.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^34803328 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 34803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

34803328 is an abundant number, since it is smaller than the sum of its proper divisors (48918272).

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

34803328 is a wasteful number, since it uses less digits than its factorization.

34803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 34803328 is about 5899.4345491750. The cubic root of 34803328 is about 326.4927872818.

The spelling of 34803328 in words is "thirty-four million, eight hundred three thousand, three hundred twenty-eight".