38291616 has 240 divisors, whose sum is σ = 131725440. Its totient is φ = 10782720.

The previous prime is 38291611. The next prime is 38291651. The reversal of 38291616 is 61619283.

38291616 is a `hidden beast` number, since 38 + 2 + 9 + 1 + 616 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (38291611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484665 + ... + 484743.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^38291616 is an apocalyptic number.

38291616 is a gapful number since it is divisible by the number (36) 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 38291616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

38291616 is an abundant number, since it is smaller than the sum of its proper divisors (93433824).

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

38291616 is a wasteful number, since it uses less digits than its factorization.

38291616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 38291616 is about 6188.0219779829. The cubic root of 38291616 is about 337.0553551935.

It can be divided in two parts, 3829 and 1616, that added together give a palindrome (5445).

The spelling of 38291616 in words is "thirty-eight million, two hundred ninety-one thousand, six hundred sixteen".