8332038144 has 312 divisors, whose sum is σ = 26005704192. Its totient is φ = 2562785280.

The previous prime is 8332038133. The next prime is 8332038149. The reversal of 8332038144 is 4418302338.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 8332038099 and 8332038108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8332038149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26283874 + ... + 26284190.

It is an arithmetic number, because the mean of its divisors is an integer number (83351616).

Almost surely, 2^8332038144 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 8332038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002852096).

8332038144 is an abundant number, since it is smaller than the sum of its proper divisors (17673666048).

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

8332038144 is a wasteful number, since it uses less digits than its factorization.

8332038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8332038144 is about 91279.9985977213. The cubic root of 8332038144 is about 2027.2956250404.

The spelling of 8332038144 in words is "eight billion, three hundred thirty-two million, thirty-eight thousand, one hundred forty-four".