7038734112 has 168 divisors, whose sum is σ = 21172489884. Its totient is φ = 2301571584.

The previous prime is 7038734099. The next prime is 7038734117. The reversal of 7038734112 is 2114378307.

It can be written as a sum of positive squares in 2 ways, for example, as 6969578256 + 69155856 = 83484^2 + 8316^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7038734117) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1233538 + ... + 1239230.

Almost surely, 2^7038734112 is an apocalyptic number.

7038734112 is a gapful number since it is divisible by the number (72) 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 7038734112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10586244942).

7038734112 is an abundant number, since it is smaller than the sum of its proper divisors (14133755772).

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

7038734112 is an equidigital number, since it uses as much as digits as its factorization.

7038734112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7038734112 is about 83897.1639091573. The cubic root of 7038734112 is about 1916.4530609220.

The spelling of 7038734112 in words is "seven billion, thirty-eight million, seven hundred thirty-four thousand, one hundred twelve".