38133116 has 48 divisors (see below), whose sum is σ = 79591680. Its totient is φ = 15646080.

The previous prime is 38133101. The next prime is 38133119. The reversal of 38133116 is 61133183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38133119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67451 + ... + 68013.

It is an arithmetic number, because the mean of its divisors is an integer number (1658160).

Almost surely, 2^38133116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38133116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39795840).

38133116 is an abundant number, since it is smaller than the sum of its proper divisors (41458564).

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

38133116 is a wasteful number, since it uses less digits than its factorization.

38133116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 38133116 is about 6175.2016971108. The cubic root of 38133116 is about 336.5896557290.

Adding to 38133116 its reverse (61133183), we get a palindrome (99266299).

The spelling of 38133116 in words is "thirty-eight million, one hundred thirty-three thousand, one hundred sixteen".