33800820 has 48 divisors (see below), whose sum is σ = 94899840. Its totient is φ = 8989056.

The previous prime is 33800813. The next prime is 33800843. The reversal of 33800820 is 2800833.

It is a super-2 number, since 2×33800820² = 2284990865344800, which contains 22 as substring.

It is a congruent number.

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, 36321 + ... + 37239.

It is an arithmetic number, because the mean of its divisors is an integer number (1977080).

Almost surely, 2^33800820 is an apocalyptic number.

33800820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33800820 is an abundant number, since it is smaller than the sum of its proper divisors (61099020).

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

33800820 is a wasteful number, since it uses less digits than its factorization.

33800820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 33800820 is about 5813.8472632156. The cubic root of 33800820 is about 323.3273271519.

The spelling of 33800820 in words is "thirty-three million, eight hundred thousand, eight hundred twenty".