33680430 has 96 divisors (see below), whose sum is σ = 100960704. Its totient is φ = 7630848.

The previous prime is 33680429. The next prime is 33680459. The reversal of 33680430 is 3408633.

It is a super-2 number, since 2×33680430² = 2268742729969800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33680394 and 33680403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 121452 + ... + 121728.

It is an arithmetic number, because the mean of its divisors is an integer number (1051674).

Almost surely, 2^33680430 is an apocalyptic number.

33680430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33680430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50480352).

33680430 is an abundant number, since it is smaller than the sum of its proper divisors (67280274).

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

33680430 is a wasteful number, since it uses less digits than its factorization.

33680430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33680430 is about 5803.4842982470. The cubic root of 33680430 is about 322.9430003545.

The spelling of 33680430 in words is "thirty-three million, six hundred eighty thousand, four hundred thirty".