38268126 has 64 divisors (see below), whose sum is σ = 92850240. Its totient is φ = 11757312.

The previous prime is 38268121. The next prime is 38268161. The reversal of 38268126 is 62186283.

38268126 is a nontrivial binomial coefficient, being equal to C(8749, 2).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38268121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56526 + ... + 57198.

It is an arithmetic number, because the mean of its divisors is an integer number (1450785).

Almost surely, 2^38268126 is an apocalyptic number.

38268126 is the 8748-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38268126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425120).

38268126 is an abundant number, since it is smaller than the sum of its proper divisors (54582114).

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

38268126 is an equidigital number, since it uses as much as digits as its factorization.

38268126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 691 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38268126 is about 6186.1236651073. The cubic root of 38268126 is about 336.9864188688.

The spelling of 38268126 in words is "thirty-eight million, two hundred sixty-eight thousand, one hundred twenty-six".