33478038 has 72 divisors (see below), whose sum is σ = 84029400. Its totient is φ = 9599040.

The previous prime is 33478013. The next prime is 33478061. The reversal of 33478038 is 83087433.

It is a super-2 number, since 2×33478038² = 2241558056658888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33477993 and 33478011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40978 + ... + 41786.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^33478038 is an apocalyptic number.

33478038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33478038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

33478038 is an abundant number, since it is smaller than the sum of its proper divisors (50551362).

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

33478038 is a wasteful number, since it uses less digits than its factorization.

33478038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 33478038 is about 5786.0209125097. The cubic root of 33478038 is about 322.2948253274.

The spelling of 33478038 in words is "thirty-three million, four hundred seventy-eight thousand, thirty-eight".