38104673440 has 96 divisors (see below), whose sum is σ = 91170470160. Its totient is φ = 15048474624.

The previous prime is 38104673417. The next prime is 38104673441. The reversal of 38104673440 is 4437640183.

38104673440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26606829456 + 11497843984 = 163116^2 + 107228^2 .

It is a super-2 number, since 2×38104673440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 38104673393 and 38104673402.

It is not an unprimeable number, because it can be changed into a prime (38104673441) 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, 5106192 + ... + 5113648.

Almost surely, 2^38104673440 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 38104673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45585235080).

38104673440 is an abundant number, since it is smaller than the sum of its proper divisors (53065796720).

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

38104673440 is a wasteful number, since it uses less digits than its factorization.

38104673440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7874 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 38104673440 in words is "thirty-eight billion, one hundred four million, six hundred seventy-three thousand, four hundred forty".