33448968 has 144 divisors (see below), whose sum is σ = 111150000. Its totient is φ = 9035712.

The previous prime is 33448967. The next prime is 33448991. The reversal of 33448968 is 86984433.

It is a super-2 number, since 2×33448968² = 2237666920530048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33448967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66783 + ... + 67281.

It is an arithmetic number, because the mean of its divisors is an integer number (771875).

Almost surely, 2^33448968 is an apocalyptic number.

33448968 is a gapful number since it is divisible by the number (38) 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 33448968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55575000).

33448968 is an abundant number, since it is smaller than the sum of its proper divisors (77701032).

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

33448968 is a wasteful number, since it uses less digits than its factorization.

33448968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 33448968 is about 5783.5082778535. The cubic root of 33448968 is about 322.2015121758.

It can be divided in two parts, 3344 and 8968, that multiplied together give a palindrome (29988992).

The spelling of 33448968 in words is "thirty-three million, four hundred forty-eight thousand, nine hundred sixty-eight".