38244096 has 144 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 11566080.

The previous prime is 38244091. The next prime is 38244109. The reversal of 38244096 is 69044283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38244096² = 2925221757714432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38244096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38244091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75781 + ... + 76283.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^38244096 is an apocalyptic number.

38244096 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 38244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

38244096 is an abundant number, since it is smaller than the sum of its proper divisors (85377024).

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

38244096 is a wasteful number, since it uses less digits than its factorization.

38244096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38244096 is about 6184.1811098964. The cubic root of 38244096 is about 336.9158686045.

The spelling of 38244096 in words is "thirty-eight million, two hundred forty-four thousand, ninety-six".