33946830 has 64 divisors (see below), whose sum is σ = 92102400. Its totient is φ = 8894880.

The previous prime is 33946817. The next prime is 33946837. The reversal of 33946830 is 3864933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33946837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14865 + ... + 16995.

It is an arithmetic number, because the mean of its divisors is an integer number (1439100).

Almost surely, 2^33946830 is an apocalyptic number.

33946830 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 33946830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46051200).

33946830 is an abundant number, since it is smaller than the sum of its proper divisors (58155570).

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

33946830 is a wasteful number, since it uses less digits than its factorization.

33946830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 33946830 is about 5826.3908210830. The cubic root of 33946830 is about 323.7922193168.

The spelling of 33946830 in words is "thirty-three million, nine hundred forty-six thousand, eight hundred thirty".