38149200 has 90 divisors (see below), whose sum is σ = 132400814. Its totient is φ = 10172160.

The previous prime is 38149193. The next prime is 38149201. The reversal of 38149200 is 294183.

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 38044224 = 324^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×38149200² = 2910722921280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38149201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1699 + ... + 8898.

Almost surely, 2^38149200 is an apocalyptic number.

38149200 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 38149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66200407).

38149200 is an abundant number, since it is smaller than the sum of its proper divisors (94251614).

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

38149200 is a wasteful number, since it uses less digits than its factorization.

38149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38149200 is about 6176.5038654566. The cubic root of 38149200 is about 336.6369719695.

The spelling of 38149200 in words is "thirty-eight million, one hundred forty-nine thousand, two hundred".