38835200 has 132 divisors (see below), whose sum is σ = 101277372. Its totient is φ = 14745600.

The previous prime is 38835187. The next prime is 38835217. The reversal of 38835200 is 253883.

It can be written as a sum of positive squares in 6 ways, for example, as 1478656 + 37356544 = 1216^2 + 6112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947180 + ... + 947220.

Almost surely, 2^38835200 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 38835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50638686).

38835200 is an abundant number, since it is smaller than the sum of its proper divisors (62442172).

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

38835200 is a wasteful number, since it uses less digits than its factorization.

38835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 38835200 is about 6231.7894701281. The cubic root of 38835200 is about 338.6428018262.

The spelling of 38835200 in words is "thirty-eight million, eight hundred thirty-five thousand, two hundred".