33478992 has 60 divisors (see below), whose sum is σ = 96937620. Its totient is φ = 10773504.

The previous prime is 33478981. The next prime is 33478999. The reversal of 33478992 is 29987433.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 15023376 = 4296^2 + 3876^2 .

It is a super-2 number, since 2×33478992² = 2241685810672128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33478999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168 + ... + 8184.

It is an arithmetic number, because the mean of its divisors is an integer number (1615627).

Almost surely, 2^33478992 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 33478992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48468810).

33478992 is an abundant number, since it is smaller than the sum of its proper divisors (63458628).

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

33478992 is a wasteful number, since it uses less digits than its factorization.

33478992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8051 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 33478992 is about 5786.1033519978. The cubic root of 33478992 is about 322.2978867010.

The spelling of 33478992 in words is "thirty-three million, four hundred seventy-eight thousand, nine hundred ninety-two".