6038435920 has 160 divisors (see below), whose sum is σ = 15838986240. Its totient is φ = 2121976320.

The previous prime is 6038435917. The next prime is 6038435929. The reversal of 6038435920 is 295348306.

6038435920 = T₁₂₀₂₁ + T₁₂₀₂₂ + ... + T₁₂₁₀₃.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6038435929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3432001 + ... + 3433759.

It is an arithmetic number, because the mean of its divisors is an integer number (98993664).

Almost surely, 2^6038435920 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 6038435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

6038435920 is an abundant number, since it is smaller than the sum of its proper divisors (9800550320).

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

6038435920 is a wasteful number, since it uses less digits than its factorization.

6038435920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 6038435920 is about 77707.3736526979. The cubic root of 6038435920 is about 1820.9924868934.

The spelling of 6038435920 in words is "six billion, thirty-eight million, four hundred thirty-five thousand, nine hundred twenty".