38006136 has 96 divisors (see below), whose sum is σ = 119364960. Its totient is φ = 10699776.

The previous prime is 38006131. The next prime is 38006149. The reversal of 38006136 is 63160083.

It is a super-3 number, since 3×38006136³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38006131) 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, 36276 + ... + 37308.

It is an arithmetic number, because the mean of its divisors is an integer number (1243385).

Almost surely, 2^38006136 is an apocalyptic number.

38006136 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 38006136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59682480).

38006136 is an abundant number, since it is smaller than the sum of its proper divisors (81358824).

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

38006136 is a wasteful number, since it uses less digits than its factorization.

38006136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 38006136 is about 6164.9116781995. The cubic root of 38006136 is about 336.2156353912.

The spelling of 38006136 in words is "thirty-eight million, six thousand, one hundred thirty-six".