33399408 has 80 divisors (see below), whose sum is σ = 99636480. Its totient is φ = 9443328.

The previous prime is 33399389. The next prime is 33399439. The reversal of 33399408 is 80499333.

It is a super-2 number, since 2×33399408² = 2231040909500928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35488 + ... + 36416.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^33399408 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 33399408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49818240).

33399408 is an abundant number, since it is smaller than the sum of its proper divisors (66237072).

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

33399408 is a wasteful number, since it uses less digits than its factorization.

33399408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 33399408 is about 5779.2220929810. Note that the first 3 decimals coincide. The cubic root of 33399408 is about 322.0423024808.

The spelling of 33399408 in words is "thirty-three million, three hundred ninety-nine thousand, four hundred eight".