38201400 has 144 divisors (see below), whose sum is σ = 135166200. Its totient is φ = 9642240.

The previous prime is 38201377. The next prime is 38201437. The reversal of 38201400 is 410283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 33642 + ... + 34758.

Almost surely, 2^38201400 is an apocalyptic number.

38201400 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 38201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67583100).

38201400 is an abundant number, since it is smaller than the sum of its proper divisors (96964800).

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

38201400 is a wasteful number, since it uses less digits than its factorization.

38201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38201400 is about 6180.7281124476. The cubic root of 38201400 is about 336.7904434373.

Adding to 38201400 its reverse (410283), we get a palindrome (38611683).

The spelling of 38201400 in words is "thirty-eight million, two hundred one thousand, four hundred".