38145978 has 80 divisors (see below), whose sum is σ = 93915360. Its totient is φ = 11500704.

The previous prime is 38145953. The next prime is 38145997. The reversal of 38145978 is 87954183.

38145978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (241920) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124101 + ... + 124407.

It is an arithmetic number, because the mean of its divisors is an integer number (1173942).

Almost surely, 2^38145978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38145978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46957680).

38145978 is an abundant number, since it is smaller than the sum of its proper divisors (55769382).

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

38145978 is a wasteful number, since it uses less digits than its factorization.

38145978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 38145978 is about 6176.2430327830. The cubic root of 38145978 is about 336.6274944893.

The spelling of 38145978 in words is "thirty-eight million, one hundred forty-five thousand, nine hundred seventy-eight".