38661792 has 72 divisors (see below), whose sum is σ = 109940544. Its totient is φ = 11890944.

The previous prime is 38661769. The next prime is 38661797. The reversal of 38661792 is 29716683.

It is a happy number.

38661792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38661797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15033 + ... + 17415.

It is an arithmetic number, because the mean of its divisors is an integer number (1526952).

Almost surely, 2^38661792 is an apocalyptic number.

38661792 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 38661792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54970272).

38661792 is an abundant number, since it is smaller than the sum of its proper divisors (71278752).

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

38661792 is a wasteful number, since it uses less digits than its factorization.

38661792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2401 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 38661792 is about 6217.8607253621. The cubic root of 38661792 is about 338.1380107015.

The spelling of 38661792 in words is "thirty-eight million, six hundred sixty-one thousand, seven hundred ninety-two".