38287200 has 288 divisors, whose sum is σ = 148490496. Its totient is φ = 8386560.

The previous prime is 38287141. The next prime is 38287211. The reversal of 38287200 is 278283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722374 + ... + 722426.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^38287200 is an apocalyptic number.

38287200 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 38287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

38287200 is an abundant number, since it is smaller than the sum of its proper divisors (110203296).

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

38287200 is a wasteful number, since it uses less digits than its factorization.

38287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38287200 is about 6187.6651493112. The cubic root of 38287200 is about 337.0423976689.

It can be divided in two parts, 3828 and 7200, that multiplied together give a triangular number (27561600 = T₇₄₂₄).

The spelling of 38287200 in words is "thirty-eight million, two hundred eighty-seven thousand, two hundred".