38034048 has 128 divisors (see below), whose sum is σ = 114811200. Its totient is φ = 11059200.

The previous prime is 38034047. The next prime is 38034053. The reversal of 38034048 is 84043083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38034047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94648 + ... + 95048.

Almost surely, 2^38034048 is an apocalyptic number.

38034048 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 38034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57405600).

38034048 is an abundant number, since it is smaller than the sum of its proper divisors (76777152).

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

38034048 is a wasteful number, since it uses less digits than its factorization.

38034048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 38034048 is about 6167.1750421080. The cubic root of 38034048 is about 336.2979217042.

The spelling of 38034048 in words is "thirty-eight million, thirty-four thousand, forty-eight".