4238084160 has 112 divisors (see below), whose sum is σ = 14951049600. Its totient is φ = 1130153472.

The previous prime is 4238084119. The next prime is 4238084161. The reversal of 4238084160 is 614808324.

4238084160 is a `hidden beast` number, since 4 + 238 + 0 + 8 + 416 + 0 = 666.

It is a super-3 number, since 3×4238084160³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (4238084161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236620 + ... + 253899.

Almost surely, 2^4238084160 is an apocalyptic number.

4238084160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4238084160 is an abundant number, since it is smaller than the sum of its proper divisors (10712965440).

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

4238084160 is a wasteful number, since it uses less digits than its factorization.

4238084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490545 (or 490529 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4238084160 is about 65100.5695827617. The cubic root of 4238084160 is about 1618.2906524298.

The spelling of 4238084160 in words is "four billion, two hundred thirty-eight million, eighty-four thousand, one hundred sixty".