4638000672 has 54 divisors (see below), whose sum is σ = 13192601877. Its totient is φ = 1545614976.

The previous prime is 4638000671. The next prime is 4638000677. The reversal of 4638000672 is 2760008364.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4025141136 + 612859536 = 63444^2 + 24756^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=48156.

It is a super-2 number, since 2×4638000672² = 43022100466944903168, which contains 22 as substring.

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 (4638000671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1153738 + ... + 1157750.

Almost surely, 2^4638000672 is an apocalyptic number.

It is an amenable number.

4638000672 is an abundant number, since it is smaller than the sum of its proper divisors (8554601205).

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

4638000672 is an frugal number, since it uses more digits than its factorization.

4638000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 4018 counting only the distinct ones).

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

The square root of 4638000672 is about 68102.8683096388. The cubic root of 4638000672 is about 1667.6705869162.

The spelling of 4638000672 in words is "four billion, six hundred thirty-eight million, six hundred seventy-two", and thus it is an aban number.