33814140 has 96 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 8507136.

The previous prime is 33814127. The next prime is 33814171. The reversal of 33814140 is 4141833.

It is a super-2 number, since 2×33814140² = 2286792127879200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33814140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147546 + ... + 147774.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 2^33814140 is an apocalyptic number.

33814140 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 33814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

33814140 is an abundant number, since it is smaller than the sum of its proper divisors (66340740).

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

33814140 is a wasteful number, since it uses less digits than its factorization.

33814140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 33814140 is about 5814.9926913110. The cubic root of 33814140 is about 323.3697931276.

Adding to 33814140 its reverse (4141833), we get a palindrome (37955973).

The spelling of 33814140 in words is "thirty-three million, eight hundred fourteen thousand, one hundred forty".