4138670304 has 36 divisors (see below), whose sum is σ = 11769344496. Its totient is φ = 1379556672.

The previous prime is 4138670299. The next prime is 4138670309. The reversal of 4138670304 is 4030768314.

It is an interprime number because it is at equal distance from previous prime (4138670299) and next prime (4138670309).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4138670304² = 34257183770422904832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138670309) 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 5 ways as a sum of consecutive naturals, for example, 7184904 + ... + 7185479.

It is an arithmetic number, because the mean of its divisors is an integer number (326926236).

Almost surely, 2^4138670304 is an apocalyptic number.

It is an amenable number.

4138670304 is an abundant number, since it is smaller than the sum of its proper divisors (7630674192).

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

4138670304 is a wasteful number, since it uses less digits than its factorization.

4138670304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370399 (or 14370388 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4138670304 is about 64332.4980394823. The cubic root of 4138670304 is about 1605.5368466457.

The spelling of 4138670304 in words is "four billion, one hundred thirty-eight million, six hundred seventy thousand, three hundred four".