38426400 has 180 divisors, whose sum is σ = 140369922. Its totient is φ = 10229760.

The previous prime is 38426369. The next prime is 38426447. The reversal of 38426400 is 462483.

It can be written as a sum of positive squares in 3 ways, for example, as 30338064 + 8088336 = 5508^2 + 2844^2 .

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

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64504 + ... + 65096.

Almost surely, 2^38426400 is an apocalyptic number.

38426400 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 38426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70184961).

38426400 is an abundant number, since it is smaller than the sum of its proper divisors (101943522).

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

38426400 is a wasteful number, since it uses less digits than its factorization.

38426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38426400 is about 6198.9031287801. The cubic root of 38426400 is about 337.4503630705.

Adding to 38426400 its reverse (462483), we get a palindrome (38888883).

The spelling of 38426400 in words is "thirty-eight million, four hundred twenty-six thousand, four hundred".