33449472 has 240 divisors, whose sum is σ = 118733472. Its totient is φ = 8847360.

The previous prime is 33449461. The next prime is 33449473. The reversal of 33449472 is 27494433.

It is a super-2 number, since 2×33449472² = 2237734354157568, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33449473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548322 + ... + 548382.

Almost surely, 2^33449472 is an apocalyptic number.

33449472 is a gapful number since it is divisible by the number (32) 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 33449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59366736).

33449472 is an abundant number, since it is smaller than the sum of its proper divisors (85284000).

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

33449472 is a wasteful number, since it uses less digits than its factorization.

33449472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 33449472 is about 5783.5518498584. The cubic root of 33449472 is about 322.2031304494.

The spelling of 33449472 in words is "thirty-three million, four hundred forty-nine thousand, four hundred seventy-two".