38049984 has 84 divisors (see below), whose sum is σ = 124657104. Its totient is φ = 10870272.

The previous prime is 38049971. The next prime is 38049997. The reversal of 38049984 is 48994083.

It is a happy number.

38049984 is a `hidden beast` number, since 3 + 80 + 499 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (38049971) and next prime (38049997).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 8750.

Almost surely, 2^38049984 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 38049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62328552).

38049984 is an abundant number, since it is smaller than the sum of its proper divisors (86607120).

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

38049984 is a wasteful number, since it uses less digits than its factorization.

38049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9462 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38049984 is about 6168.4669083979. The cubic root of 38049984 is about 336.3448839713.

The spelling of 38049984 in words is "thirty-eight million, forty-nine thousand, nine hundred eighty-four".