33750000 has 160 divisors (see below), whose sum is σ = 121093440. Its totient is φ = 9000000.

The previous prime is 33749987. The next prime is 33750007. The reversal of 33750000 is 5733.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

33750000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33750000² = 2278125000000000, 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 not an unprimeable number, because it can be changed into a prime (33750007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6749998 + ... + 6750002.

It is an arithmetic number, because the mean of its divisors is an integer number (756834).

Almost surely, 2^33750000 is an apocalyptic number.

33750000 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 33750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60546720).

33750000 is an abundant number, since it is smaller than the sum of its proper divisors (87343440).

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

33750000 is an frugal number, since it uses more digits than its factorization.

33750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 33750000 is about 5809.4750193111. The cubic root of 33750000 is about 323.1652035048.

Adding to 33750000 its reverse (5733), we get a palindrome (33755733).

The spelling of 33750000 in words is "thirty-three million, seven hundred fifty thousand".