38514400 has 72 divisors (see below), whose sum is σ = 97118784. Its totient is φ = 14899200.

The previous prime is 38514383. The next prime is 38514419. The reversal of 38514400 is 441583.

38514400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24024 + ... + 25576.

It is an arithmetic number, because the mean of its divisors is an integer number (1348872).

Almost surely, 2^38514400 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 38514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48559392).

38514400 is an abundant number, since it is smaller than the sum of its proper divisors (58604384).

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

38514400 is a wasteful number, since it uses less digits than its factorization.

38514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 38514400 is about 6205.9970995804. The cubic root of 38514400 is about 337.7077641643.

Adding to 38514400 its reverse (441583), we get a palindrome (38955983).

The spelling of 38514400 in words is "thirty-eight million, five hundred fourteen thousand, four hundred".