38561400 has 192 divisors, whose sum is σ = 137119200. Its totient is φ = 9953280.

The previous prime is 38561377. The next prime is 38561407. The reversal of 38561400 is 416583.

It is a super-3 number, since 3×38561400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38561407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199704 + ... + 199896.

Almost surely, 2^38561400 is an apocalyptic number.

38561400 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 38561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68559600).

38561400 is an abundant number, since it is smaller than the sum of its proper divisors (98557800).

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

38561400 is a wasteful number, since it uses less digits than its factorization.

38561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38561400 is about 6209.7826048904. The cubic root of 38561400 is about 337.8450791500.

Adding to 38561400 its reverse (416583), we get a palindrome (38977983).

The spelling of 38561400 in words is "thirty-eight million, five hundred sixty-one thousand, four hundred".