3807459216 has 160 divisors (see below), whose sum is σ = 12041907840. Its totient is φ = 1142208000.

The previous prime is 3807459203. The next prime is 3807459223. The reversal of 3807459216 is 6129547083.

3807459216 is a `hidden beast` number, since 380 + 7 + 4 + 59 + 216 = 666.

3807459216 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

3807459216 is a nontrivial binomial coefficient, being equal to C(87264, 2).

3807459216 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475986 + ... + 483918.

It is an arithmetic number, because the mean of its divisors is an integer number (75261924).

It is a 1-persistent number, because it is pandigital, but 2⋅3807459216 = 7614918432 is not.

Almost surely, 2^3807459216 is an apocalyptic number.

3807459216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3807459216 is the 87263-rd triangular number and also the 43632-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807459216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020953920).

3807459216 is an abundant number, since it is smaller than the sum of its proper divisors (8234448624).

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

3807459216 is a wasteful number, since it uses less digits than its factorization.

3807459216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3807459216 is about 61704.6125990594. The cubic root of 3807459216 is about 1561.5111392687.

The spelling of 3807459216 in words is "three billion, eight hundred seven million, four hundred fifty-nine thousand, two hundred sixteen".