38033408 has 72 divisors (see below), whose sum is σ = 88697700. Its totient is φ = 16257024.

The previous prime is 38033399. The next prime is 38033417. The reversal of 38033408 is 80433083.

It is an interprime number because it is at equal distance from previous prime (38033399) and next prime (38033417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100163 + ... + 100541.

Almost surely, 2^38033408 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 38033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348850).

38033408 is an abundant number, since it is smaller than the sum of its proper divisors (50664292).

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

38033408 is an equidigital number, since it uses as much as digits as its factorization.

38033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 38033408 is about 6167.1231542754. The cubic root of 38033408 is about 336.2960353954.

The spelling of 38033408 in words is "thirty-eight million, thirty-three thousand, four hundred eight".