38235456 has 224 divisors, whose sum is σ = 134112000. Its totient is φ = 10450944.

The previous prime is 38235451. The next prime is 38235473. The reversal of 38235456 is 65453283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (86400) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 38235456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38235451) 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 31 ways as a sum of consecutive naturals, for example, 350730 + ... + 350838.

Almost surely, 2^38235456 is an apocalyptic number.

38235456 is a gapful number since it is divisible by the number (36) 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 38235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67056000).

38235456 is an abundant number, since it is smaller than the sum of its proper divisors (95876544).

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

38235456 is a wasteful number, since it uses less digits than its factorization.

38235456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 38235456 is about 6183.4825139237. The cubic root of 38235456 is about 336.8904949944.

The spelling of 38235456 in words is "thirty-eight million, two hundred thirty-five thousand, four hundred fifty-six".