38378960 has 40 divisors (see below), whose sum is σ = 89492040. Its totient is φ = 15306752.

The previous prime is 38378929. The next prime is 38378983. The reversal of 38378960 is 6987383.

It can be written as a sum of positive squares in 4 ways, for example, as 12082576 + 26296384 = 3476^2 + 5128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47036 + ... + 47844.

It is an arithmetic number, because the mean of its divisors is an integer number (2237301).

Almost surely, 2^38378960 is an apocalyptic number.

It is an amenable number.

38378960 is an abundant number, since it is smaller than the sum of its proper divisors (51113080).

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

38378960 is a wasteful number, since it uses less digits than its factorization.

38378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 38378960 is about 6195.0754636243. The cubic root of 38378960 is about 337.3114374216.

The spelling of 38378960 in words is "thirty-eight million, three hundred seventy-eight thousand, nine hundred sixty".