33866100 has 180 divisors, whose sum is σ = 113745324. Its totient is φ = 8709120.

The previous prime is 33866081. The next prime is 33866101. The reversal of 33866100 is 166833.

It can be written as a sum of positive squares in 6 ways, for example, as 1920996 + 31945104 = 1386^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×33866100² = 2293825458420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33866101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 299644 + ... + 299756.

Almost surely, 2^33866100 is an apocalyptic number.

33866100 is a gapful number since it is divisible by the number (30) 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 33866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56872662).

33866100 is an abundant number, since it is smaller than the sum of its proper divisors (79879224).

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

33866100 is a wasteful number, since it uses less digits than its factorization.

33866100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 33866100 is about 5819.4587377178. The cubic root of 33866100 is about 323.5353421697.

The spelling of 33866100 in words is "thirty-three million, eight hundred sixty-six thousand, one hundred".