38611872 has 72 divisors (see below), whose sum is σ = 118260324. Its totient is φ = 11879424.

The previous prime is 38611829. The next prime is 38611883. The reversal of 38611872 is 27811683.

38611872 is a `hidden beast` number, since 38 + 611 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 2178576 = 6036^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413 + ... + 8900.

Almost surely, 2^38611872 is an apocalyptic number.

38611872 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 38611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59130162).

38611872 is an abundant number, since it is smaller than the sum of its proper divisors (79648452).

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

38611872 is a wasteful number, since it uses less digits than its factorization.

38611872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10331 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 38611872 is about 6213.8451863560. The cubic root of 38611872 is about 337.9924137275.

The spelling of 38611872 in words is "thirty-eight million, six hundred eleven thousand, eight hundred seventy-two".