38610400 has 108 divisors (see below), whose sum is σ = 100727928. Its totient is φ = 14448640.

The previous prime is 38610391. The next prime is 38610401. The reversal of 38610400 is 401683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38610401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 231117 + ... + 231283.

It is an arithmetic number, because the mean of its divisors is an integer number (932666).

Almost surely, 2^38610400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50363964).

38610400 is an abundant number, since it is smaller than the sum of its proper divisors (62117528).

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

38610400 is a wasteful number, since it uses less digits than its factorization.

38610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 38610400 is about 6213.7267400490. The cubic root of 38610400 is about 337.9881185791.

The spelling of 38610400 in words is "thirty-eight million, six hundred ten thousand, four hundred".