38967936 has 192 divisors, whose sum is σ = 127908000. Its totient is φ = 10450944.

The previous prime is 38967931. The next prime is 38967949. The reversal of 38967936 is 63976983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38967936² = 3037000072200192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38967931) 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, 357450 + ... + 357558.

Almost surely, 2^38967936 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 38967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63954000).

38967936 is an abundant number, since it is smaller than the sum of its proper divisors (88940064).

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

38967936 is a wasteful number, since it uses less digits than its factorization.

38967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 38967936 is about 6242.4302959665. The cubic root of 38967936 is about 339.0281822360.

It can be divided in two parts, 38967 and 936, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 38967936 in words is "thirty-eight million, nine hundred sixty-seven thousand, nine hundred thirty-six".