33482980 has 24 divisors (see below), whose sum is σ = 70508088. Its totient is φ = 13356288.

The previous prime is 33482927. The next prime is 33482987. The reversal of 33482980 is 8928433.

It can be written as a sum of positive squares in 4 ways, for example, as 11655396 + 21827584 = 3414^2 + 4672^2 .

It is a super-2 number, since 2×33482980² = 2242219899360800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33482987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5832 + ... + 10048.

It is an arithmetic number, because the mean of its divisors is an integer number (2937837).

Almost surely, 2^33482980 is an apocalyptic number.

It is an amenable number.

33482980 is an abundant number, since it is smaller than the sum of its proper divisors (37025108).

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

33482980 is a wasteful number, since it uses less digits than its factorization.

33482980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 33482980 is about 5786.4479605368. The cubic root of 33482980 is about 322.3106835114.

It can be divided in two parts, 3348 and 2980, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 33482980 in words is "thirty-three million, four hundred eighty-two thousand, nine hundred eighty".