6938035104 has 768 divisors, whose sum is σ = 26921631744. Its totient is φ = 1504051200.

The previous prime is 6938035021. The next prime is 6938035109. The reversal of 6938035104 is 4015308396.

It is a super-2 number, since 2×6938035104² = 96272662208672581632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6938035109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50642524 + ... + 50642660.

It is an arithmetic number, because the mean of its divisors is an integer number (35054208).

Almost surely, 2^6938035104 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 6938035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460815872).

6938035104 is an abundant number, since it is smaller than the sum of its proper divisors (19983596640).

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

6938035104 is a wasteful number, since it uses less digits than its factorization.

6938035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 6938035104 is about 83294.8684133663. The cubic root of 6938035104 is about 1907.2699411923.

The spelling of 6938035104 in words is "six billion, nine hundred thirty-eight million, thirty-five thousand, one hundred four".