33730480 has 160 divisors (see below), whose sum is σ = 97136640. Its totient is φ = 10644480.

The previous prime is 33730469. The next prime is 33730481. The reversal of 33730480 is 8403733.

33730480 = T₁₂₅ + T₁₂₆ + ... + T₅₈₈.

It is a super-2 number, since 2×33730480² = 2275490562060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (33730481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 503407 + ... + 503473.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 2^33730480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320).

33730480 is an abundant number, since it is smaller than the sum of its proper divisors (63406160).

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

33730480 is a wasteful number, since it uses less digits than its factorization.

33730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 33730480 is about 5807.7947622140. The cubic root of 33730480 is about 323.1028884300.

The spelling of 33730480 in words is "thirty-three million, seven hundred thirty thousand, four hundred eighty".