38938536 has 192 divisors, whose sum is σ = 135979200. Its totient is φ = 10233216.

The previous prime is 38938531. The next prime is 38938553. The reversal of 38938536 is 63583983.

38938536 is a `hidden beast` number, since 3 + 89 + 38 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38938491 and 38938500.

It is not an unprimeable number, because it can be changed into a prime (38938531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137451 + ... + 137733.

It is an arithmetic number, because the mean of its divisors is an integer number (708225).

Almost surely, 2^38938536 is an apocalyptic number.

38938536 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 38938536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67989600).

38938536 is an abundant number, since it is smaller than the sum of its proper divisors (97040664).

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

38938536 is a wasteful number, since it uses less digits than its factorization.

38938536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 38938536 is about 6240.0749995493. The cubic root of 38938536 is about 338.9428989893.

The spelling of 38938536 in words is "thirty-eight million, nine hundred thirty-eight thousand, five hundred thirty-six".