38435400 has 144 divisors (see below), whose sum is σ = 130862160. Its totient is φ = 10108800.

The previous prime is 38435399. The next prime is 38435459. The reversal of 38435400 is 453483.

It is a happy 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 35 ways as a sum of consecutive naturals, for example, 235719 + ... + 235881.

It is an arithmetic number, because the mean of its divisors is an integer number (908765).

Almost surely, 2^38435400 is an apocalyptic number.

38435400 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 38435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65431080).

38435400 is an abundant number, since it is smaller than the sum of its proper divisors (92426760).

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

38435400 is a wasteful number, since it uses less digits than its factorization.

38435400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38435400 is about 6199.6290211592. The cubic root of 38435400 is about 337.4767062113.

Adding to 38435400 its reverse (453483), we get a palindrome (38888883).

The spelling of 38435400 in words is "thirty-eight million, four hundred thirty-five thousand, four hundred".