38135736 has 96 divisors (see below), whose sum is σ = 110744400. Its totient is φ = 11819520.

The previous prime is 38135719. The next prime is 38135737. The reversal of 38135736 is 63753183.

38135736 is a `hidden beast` number, since 3 + 81 + 3 + 573 + 6 = 666.

It is a super-3 number, since 3×38135736³ (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38135736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38135737) 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, 83220 + ... + 83676.

Almost surely, 2^38135736 is an apocalyptic number.

38135736 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 38135736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55372200).

38135736 is an abundant number, since it is smaller than the sum of its proper divisors (72608664).

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

38135736 is a wasteful number, since it uses less digits than its factorization.

38135736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 542 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 38135736 is about 6175.4138322869. The cubic root of 38135736 is about 336.5973642057.

The spelling of 38135736 in words is "thirty-eight million, one hundred thirty-five thousand, seven hundred thirty-six".