38126616 has 96 divisors (see below), whose sum is σ = 110443200. Its totient is φ = 10929600.

The previous prime is 38126611. The next prime is 38126639. The reversal of 38126616 is 61662183.

It is a super-2 number, since 2×38126616² = 2907277695222912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38126611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54831 + ... + 55521.

It is an arithmetic number, because the mean of its divisors is an integer number (1150450).

Almost surely, 2^38126616 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 38126616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55221600).

38126616 is an abundant number, since it is smaller than the sum of its proper divisors (72316584).

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

38126616 is a wasteful number, since it uses less digits than its factorization.

38126616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 38126616 is about 6174.6753760825. The cubic root of 38126616 is about 336.5705301210.

Adding to 38126616 its reverse (61662183), we get a palindrome (99788799).

The spelling of 38126616 in words is "thirty-eight million, one hundred twenty-six thousand, six hundred sixteen".