38375200 has 36 divisors (see below), whose sum is σ = 93685410. Its totient is φ = 15349760.

The previous prime is 38375191. The next prime is 38375213. The reversal of 38375200 is 257383.

It can be written as a sum of positive squares in 3 ways, for example, as 32672656 + 5702544 = 5716^2 + 2388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23185 + ... + 24784.

Almost surely, 2^38375200 is an apocalyptic number.

It is an amenable number.

38375200 is an abundant number, since it is smaller than the sum of its proper divisors (55310210).

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

38375200 is a wasteful number, since it uses less digits than its factorization.

38375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47989 (or 47976 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 38375200 is about 6194.7719893471. The cubic root of 38375200 is about 337.3004215557.

The spelling of 38375200 in words is "thirty-eight million, three hundred seventy-five thousand, two hundred".