33484752 has 100 divisors (see below), whose sum is σ = 110789536. Its totient is φ = 9564480.

The previous prime is 33484751. The next prime is 33484753. The reversal of 33484752 is 25748433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33484751) and next prime (33484753).

It is a super-2 number, since 2×33484752² = 2242457233003008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33484751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7227 + ... + 10917.

Almost surely, 2^33484752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33484752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55394768).

33484752 is an abundant number, since it is smaller than the sum of its proper divisors (77304784).

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

33484752 is a wasteful number, since it uses less digits than its factorization.

33484752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3703 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 33484752 is about 5786.6010748971. The cubic root of 33484752 is about 322.3163692305.

It can be divided in two parts, 3348 and 4752, that added together give a square (8100 = 90²).

The spelling of 33484752 in words is "thirty-three million, four hundred eighty-four thousand, seven hundred fifty-two".