33730020 has 120 divisors (see below), whose sum is σ = 108307584. Its totient is φ = 8783424.

The previous prime is 33730007. The next prime is 33730043. The reversal of 33730020 is 2003733.

It is a super-2 number, since 2×33730020² = 2275428498400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33729975 and 33730002.

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 39 ways as a sum of consecutive naturals, for example, 75919 + ... + 76361.

Almost surely, 2^33730020 is an apocalyptic number.

33730020 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 33730020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54153792).

33730020 is an abundant number, since it is smaller than the sum of its proper divisors (74577564).

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

33730020 is a wasteful number, since it uses less digits than its factorization.

33730020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 33730020 is about 5807.7551601286. The cubic root of 33730020 is about 323.1014196496.

Adding to 33730020 its reverse (2003733), we get a palindrome (35733753).

The spelling of 33730020 in words is "thirty-three million, seven hundred thirty thousand, twenty".