33770016 has 108 divisors (see below), whose sum is σ = 111759102. Its totient is φ = 9644544.

The previous prime is 33769999. The next prime is 33770021. The reversal of 33770016 is 61007733.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 176400 = 5796^2 + 420^2 .

It is a super-2 number, since 2×33770016² = 2280827961280512, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12916 + ... + 15308.

Almost surely, 2^33770016 is an apocalyptic number.

33770016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55879551).

33770016 is an abundant number, since it is smaller than the sum of its proper divisors (77989086).

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

33770016 is a wasteful number, since it uses less digits than its factorization.

33770016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 33770016 is about 5811.1974669598. The cubic root of 33770016 is about 323.2290770494.

Adding to 33770016 its reverse (61007733), we get a palindrome (94777749).

The spelling of 33770016 in words is "thirty-three million, seven hundred seventy thousand, sixteen".