38712400 has 60 divisors (see below), whose sum is σ = 98494812. Its totient is φ = 14571520.

The previous prime is 38712379. The next prime is 38712403. The reversal of 38712400 is 421783.

It can be written as a sum of positive squares in 6 ways, for example, as 1648656 + 37063744 = 1284^2 + 6088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38712403) 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 11 ways as a sum of consecutive naturals, for example, 3954 + ... + 9646.

Almost surely, 2^38712400 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 38712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49247406).

38712400 is an abundant number, since it is smaller than the sum of its proper divisors (59782412).

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

38712400 is a wasteful number, since it uses less digits than its factorization.

38712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 38712400 is about 6221.9289613431. The cubic root of 38712400 is about 338.2854864244.

The spelling of 38712400 in words is "thirty-eight million, seven hundred twelve thousand, four hundred".