38601936 has 30 divisors (see below), whose sum is σ = 108032210. Its totient is φ = 12867264.

The previous prime is 38601931. The next prime is 38601947. The reversal of 38601936 is 63910683.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 37896336 + 705600 = 6156^2 + 840^2 .

It is a super-3 number, since 3×38601936³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 38601936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38601931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133891 + ... + 134178.

Almost surely, 2^38601936 is an apocalyptic number.

38601936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38601936 is an abundant number, since it is smaller than the sum of its proper divisors (69430274).

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

38601936 is a wasteful number, since it uses less digits than its factorization.

38601936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268083 (or 268074 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38601936 is about 6213.0456299628. The cubic root of 38601936 is about 337.9634193573.

The spelling of 38601936 in words is "thirty-eight million, six hundred one thousand, nine hundred thirty-six".