38144400 has 240 divisors, whose sum is σ = 147609600. Its totient is φ = 8225280.

The previous prime is 38144389. The next prime is 38144411. The reversal of 38144400 is 444183.

It is an interprime number because it is at equal distance from previous prime (38144389) and next prime (38144411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 159481 + ... + 159719.

It is an arithmetic number, because the mean of its divisors is an integer number (615040).

Almost surely, 2^38144400 is an apocalyptic number.

38144400 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 38144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73804800).

38144400 is an abundant number, since it is smaller than the sum of its proper divisors (109465200).

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

38144400 is a wasteful number, since it uses less digits than its factorization.

38144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 38144400 is about 6176.1152838981. The cubic root of 38144400 is about 336.6228526237.

Adding to 38144400 its reverse (444183), we get a palindrome (38588583).

The spelling of 38144400 in words is "thirty-eight million, one hundred forty-four thousand, four hundred".