38822400 has 180 divisors, whose sum is σ = 139346922. Its totient is φ = 10321920.

The previous prime is 38822389. The next prime is 38822401. The reversal of 38822400 is 422883.

It can be written as a sum of positive squares in 3 ways, for example, as 24443136 + 14379264 = 4944^2 + 3792^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38822401) 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, 115032 + ... + 115368.

Almost surely, 2^38822400 is an apocalyptic number.

38822400 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 38822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69673461).

38822400 is an abundant number, since it is smaller than the sum of its proper divisors (100524522).

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

38822400 is a wasteful number, since it uses less digits than its factorization.

38822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38822400 is about 6230.7623931586. The cubic root of 38822400 is about 338.6055924201.

The spelling of 38822400 in words is "thirty-eight million, eight hundred twenty-two thousand, four hundred".