33770048 has 56 divisors (see below), whose sum is σ = 74185272. Its totient is φ = 15151104.

The previous prime is 33770047. The next prime is 33770059. The reversal of 33770048 is 84007733.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 30558784 = 1792^2 + 5528^2 .

It is a super-2 number, since 2×33770048² = 2280832283844608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33769996 and 33770023.

It is not an unprimeable number, because it can be changed into a prime (33770047) 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, 30236 + ... + 31332.

It is an arithmetic number, because the mean of its divisors is an integer number (1324737).

Almost surely, 2^33770048 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 33770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37092636).

33770048 is an abundant number, since it is smaller than the sum of its proper divisors (40415224).

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

33770048 is a wasteful number, since it uses less digits than its factorization.

33770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 33770048 is about 5811.2002202643. The cubic root of 33770048 is about 323.2291791451.

The spelling of 33770048 in words is "thirty-three million, seven hundred seventy thousand, forty-eight".