38379200 has 126 divisors (see below), whose sum is σ = 101527356. Its totient is φ = 14274560.

The previous prime is 38379199. The next prime is 38379223. The reversal of 38379200 is 297383.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 17 ways as a sum of consecutive naturals, for example, 462359 + ... + 462441.

Almost surely, 2^38379200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50763678).

38379200 is an abundant number, since it is smaller than the sum of its proper divisors (63148156).

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

38379200 is a wasteful number, since it uses less digits than its factorization.

38379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 38379200 is about 6195.0948338181. The cubic root of 38379200 is about 337.3121405375.

The spelling of 38379200 in words is "thirty-eight million, three hundred seventy-nine thousand, two hundred".