38129616 has 140 divisors (see below), whose sum is σ = 126857952. Its totient is φ = 10870848.

The previous prime is 38129603. The next prime is 38129629. The reversal of 38129616 is 61692183.

38129616 is a `hidden beast` number, since 38 + 1 + 2 + 9 + 616 = 666.

38129616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38129603) and next prime (38129629).

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 an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 81415 + ... + 81881.

Almost surely, 2^38129616 is an apocalyptic number.

38129616 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 38129616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63428976).

38129616 is an abundant number, since it is smaller than the sum of its proper divisors (88728336).

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

38129616 is an equidigital number, since it uses as much as digits as its factorization.

38129616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

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

The square root of 38129616 is about 6174.9182990547. The cubic root of 38129616 is about 336.5793575948.

The spelling of 38129616 in words is "thirty-eight million, one hundred twenty-nine thousand, six hundred sixteen".