38854200 has 288 divisors, whose sum is σ = 155525760. Its totient is φ = 7795200.

The previous prime is 38854187. The next prime is 38854213. The reversal of 38854200 is 245883.

It is an interprime number because it is at equal distance from previous prime (38854187) and next prime (38854213).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 1339786 + ... + 1339814.

It is an arithmetic number, because the mean of its divisors is an integer number (540020).

Almost surely, 2^38854200 is an apocalyptic number.

38854200 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 38854200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77762880).

38854200 is an abundant number, since it is smaller than the sum of its proper divisors (116671560).

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

38854200 is a wasteful number, since it uses less digits than its factorization.

38854200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38854200 is about 6233.3137254594. The cubic root of 38854200 is about 338.6980194656.

The spelling of 38854200 in words is "thirty-eight million, eight hundred fifty-four thousand, two hundred".