33769890 has 144 divisors (see below), whose sum is σ = 110545344. Its totient is φ = 7001280.

The previous prime is 33769849. The next prime is 33769907. The reversal of 33769890 is 9896733.

It is a happy number.

It is a super-2 number, since 2×33769890² = 2280810941224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76009 + ... + 76451.

It is an arithmetic number, because the mean of its divisors is an integer number (767676).

Almost surely, 2^33769890 is an apocalyptic number.

33769890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33769890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55272672).

33769890 is an abundant number, since it is smaller than the sum of its proper divisors (76775454).

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

33769890 is a wasteful number, since it uses less digits than its factorization.

33769890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 33769890 is about 5811.1866258106. The cubic root of 33769890 is about 323.2286750466.

The spelling of 33769890 in words is "thirty-three million, seven hundred sixty-nine thousand, eight hundred ninety".