33745140 has 384 divisors, whose sum is σ = 135475200. Its totient is φ = 6842880.

The previous prime is 33745099. The next prime is 33745141. The reversal of 33745140 is 4154733.

It is a super-2 number, since 2×33745140² = 2277468947239200, 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 (33745141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1467169 + ... + 1467191.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^33745140 is an apocalyptic number.

33745140 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 33745140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

33745140 is an abundant number, since it is smaller than the sum of its proper divisors (101730060).

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

33745140 is a wasteful number, since it uses less digits than its factorization.

33745140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 33745140 is about 5809.0567220505. The cubic root of 33745140 is about 323.1496908304.

Adding to 33745140 its reverse (4154733), we get a palindrome (37899873).

The spelling of 33745140 in words is "thirty-three million, seven hundred forty-five thousand, one hundred forty".