38058048 has 84 divisors (see below), whose sum is σ = 124683520. Its totient is φ = 10872576.

The previous prime is 38058037. The next prime is 38058067. The reversal of 38058048 is 84085083.

38058048 is a `hidden beast` number, since 38 + 0 + 580 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 688 + ... + 8751.

Almost surely, 2^38058048 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 38058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62341760).

38058048 is an abundant number, since it is smaller than the sum of its proper divisors (86625472).

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

38058048 is a wasteful number, since it uses less digits than its factorization.

38058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38058048 is about 6169.1205207874. The cubic root of 38058048 is about 336.3686430138.

It can be divided in two parts, 380580 and 48, that added together give a triangular number (380628 = T₈₇₂).

The spelling of 38058048 in words is "thirty-eight million, fifty-eight thousand, forty-eight".