33380100 has 180 divisors, whose sum is σ = 116896164. Its totient is φ = 8190720.

The previous prime is 33380077. The next prime is 33380111. The reversal of 33380100 is 108333.

It can be written as a sum of positive squares in 6 ways, for example, as 10969344 + 22410756 = 3312^2 + 4734^2 .

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

It is a super-2 number, since 2×33380100² = 2228462152020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105142 + ... + 105458.

Almost surely, 2^33380100 is an apocalyptic number.

33380100 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 33380100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58448082).

33380100 is an abundant number, since it is smaller than the sum of its proper divisors (83516064).

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

33380100 is a wasteful number, since it uses less digits than its factorization.

33380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 33380100 is about 5777.5513844535. The cubic root of 33380100 is about 321.9802336027.

Adding to 33380100 its reverse (108333), we get a palindrome (33488433).

The spelling of 33380100 in words is "thirty-three million, three hundred eighty thousand, one hundred".