38905200 has 180 divisors, whose sum is σ = 137622888. Its totient is φ = 10176000.

The previous prime is 38905199. The next prime is 38905219. The reversal of 38905200 is 250983.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×38905200² = 3027229174080000, which contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 363547 + ... + 363653.

Almost surely, 2^38905200 is an apocalyptic number.

38905200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68811444).

38905200 is an abundant number, since it is smaller than the sum of its proper divisors (98717688).

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

38905200 is a wasteful number, since it uses less digits than its factorization.

38905200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38905200 is about 6237.4033058637. The cubic root of 38905200 is about 338.8461462810.

The spelling of 38905200 in words is "thirty-eight million, nine hundred five thousand, two hundred".