38892672 has 288 divisors, whose sum is σ = 142849980. Its totient is φ = 10063872.

The previous prime is 38892647. The next prime is 38892691. The reversal of 38892672 is 27629883.

38892672 is a `hidden beast` number, since 388 + 9 + 267 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 254016 = 6216^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733798 + ... + 733850.

Almost surely, 2^38892672 is an apocalyptic number.

38892672 is a gapful number since it is divisible by the number (32) 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 38892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424990).

38892672 is an abundant number, since it is smaller than the sum of its proper divisors (103957308).

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

38892672 is a wasteful number, since it uses less digits than its factorization.

38892672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 38892672 is about 6236.3989609389. The cubic root of 38892672 is about 338.8097713640.

It can be divided in two parts, 3889 and 2672, that added together give a 8-th power (6561 = 3⁸).

The spelling of 38892672 in words is "thirty-eight million, eight hundred ninety-two thousand, six hundred seventy-two".