38433408 has 64 divisors (see below), whose sum is σ = 109956000. Its totient is φ = 11824128.

The previous prime is 38433407. The next prime is 38433449. The reversal of 38433408 is 80433483.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (38433401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 8841.

Almost surely, 2^38433408 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 38433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54978000).

38433408 is an abundant number, since it is smaller than the sum of its proper divisors (71522592).

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

38433408 is a wasteful number, since it uses less digits than its factorization.

38433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 38433408 is about 6199.4683643035. The cubic root of 38433408 is about 337.4708759505.

The spelling of 38433408 in words is "thirty-eight million, four hundred thirty-three thousand, four hundred eight".