38145968 has 40 divisors (see below), whose sum is σ = 84771360. Its totient is φ = 16289280.

The previous prime is 38145953. The next prime is 38145997. The reversal of 38145968 is 86954183.

It is a super-2 number, since 2×38145968² = 2910229749314048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46748 + ... + 47556.

It is an arithmetic number, because the mean of its divisors is an integer number (2119284).

Almost surely, 2^38145968 is an apocalyptic number.

It is an amenable number.

38145968 is an abundant number, since it is smaller than the sum of its proper divisors (46625392).

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

38145968 is a wasteful number, since it uses less digits than its factorization.

38145968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 38145968 is about 6176.2422232293. The cubic root of 38145968 is about 336.6274650736.

The spelling of 38145968 in words is "thirty-eight million, one hundred forty-five thousand, nine hundred sixty-eight".