33748140 has 48 divisors (see below), whose sum is σ = 95447520. Its totient is φ = 8908800.

The previous prime is 33748139. The next prime is 33748147. The reversal of 33748140 is 4184733.

It is a super-2 number, since 2×33748140² = 2277873906919200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33748098 and 33748107.

It is not an unprimeable number, because it can be changed into a prime (33748147) 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 15 ways as a sum of consecutive naturals, for example, 3276 + ... + 8844.

It is an arithmetic number, because the mean of its divisors is an integer number (1988490).

Almost surely, 2^33748140 is an apocalyptic number.

33748140 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 33748140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47723760).

33748140 is an abundant number, since it is smaller than the sum of its proper divisors (61699380).

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

33748140 is a wasteful number, since it uses less digits than its factorization.

33748140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 33748140 is about 5809.3149337938. The cubic root of 33748140 is about 323.1592667312.

The spelling of 33748140 in words is "thirty-three million, seven hundred forty-eight thousand, one hundred forty".