33969408 has 72 divisors (see below), whose sum is σ = 98651616. Its totient is φ = 10291200.

The previous prime is 33969407. The next prime is 33969409. The reversal of 33969408 is 80496933.

It is an interprime number because it is at equal distance from previous prime (33969407) and next prime (33969409).

It is a self number, because there is not a number n which added to its sum of digits gives 33969408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33969401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6438 + ... + 10458.

Almost surely, 2^33969408 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 33969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49325808).

33969408 is an abundant number, since it is smaller than the sum of its proper divisors (64682208).

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

33969408 is a wasteful number, since it uses less digits than its factorization.

33969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 33969408 is about 5828.3280621461. The cubic root of 33969408 is about 323.8639880266.

The spelling of 33969408 in words is "thirty-three million, nine hundred sixty-nine thousand, four hundred eight".