38890400 has 72 divisors (see below), whose sum is σ = 95829804. Its totient is φ = 15411200.

The previous prime is 38890391. The next prime is 38890409. The reversal of 38890400 is 409883.

It is an interprime number because it is at equal distance from previous prime (38890391) and next prime (38890409).

It can be written as a sum of positive squares in 6 ways, for example, as 26584336 + 12306064 = 5156^2 + 3508^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (38890409) 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, 138260 + ... + 138540.

Almost surely, 2^38890400 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 38890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47914902).

38890400 is an abundant number, since it is smaller than the sum of its proper divisors (56939404).

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

38890400 is a wasteful number, since it uses less digits than its factorization.

38890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 38890400 is about 6236.2168018760. The cubic root of 38890400 is about 338.8031737991.

The spelling of 38890400 in words is "thirty-eight million, eight hundred ninety thousand, four hundred".