33494820 has 48 divisors (see below), whose sum is σ = 94432128. Its totient is φ = 8870400.

The previous prime is 33494819. The next prime is 33494833. The reversal of 33494820 is 2849433.

It is a super-2 number, since 2×33494820² = 2243805933664800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7212 + ... + 10908.

It is an arithmetic number, because the mean of its divisors is an integer number (1967336).

Almost surely, 2^33494820 is an apocalyptic number.

33494820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33494820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47216064).

33494820 is an abundant number, since it is smaller than the sum of its proper divisors (60937308).

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

33494820 is a wasteful number, since it uses less digits than its factorization.

33494820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 33494820 is about 5787.4709502511. The cubic root of 33494820 is about 322.3486700623.

The spelling of 33494820 in words is "thirty-three million, four hundred ninety-four thousand, eight hundred twenty".