33752480 has 48 divisors (see below), whose sum is σ = 84437640. Its totient is φ = 12705792.

The previous prime is 33752479. The next prime is 33752489. The reversal of 33752480 is 8425733.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22165264 + 11587216 = 4708^2 + 3404^2 .

It is a super-2 number, since 2×33752480² = 2278459812300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33752489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3485 + ... + 8924.

Almost surely, 2^33752480 is an apocalyptic number.

It is an amenable number.

33752480 is an abundant number, since it is smaller than the sum of its proper divisors (50685160).

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

33752480 is a wasteful number, since it uses less digits than its factorization.

33752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12441 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 33752480 is about 5809.6884598057. The cubic root of 33752480 is about 323.1731188635.

The spelling of 33752480 in words is "thirty-three million, seven hundred fifty-two thousand, four hundred eighty".