38300400 has 90 divisors (see below), whose sum is σ = 132925520. Its totient is φ = 10212480.

The previous prime is 38300377. The next prime is 38300417. The reversal of 38300400 is 400383.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 1720 + ... + 8919.

Almost surely, 2^38300400 is an apocalyptic number.

38300400 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 38300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66462760).

38300400 is an abundant number, since it is smaller than the sum of its proper divisors (94625120).

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

38300400 is a wasteful number, since it uses less digits than its factorization.

38300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38300400 is about 6188.7316955900. The cubic root of 38300400 is about 337.0811264388.

Adding to 38300400 its reverse (400383), we get a palindrome (38700783).

The spelling of 38300400 in words is "thirty-eight million, three hundred thousand, four hundred".