3807383616 has 105 divisors (see below), whose sum is σ = 11299462669. Its totient is φ = 1267646976.

The previous prime is 3807383579. The next prime is 3807383617. The reversal of 3807383616 is 6163837083.

The square root of 3807383616 is 61704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3528360000 + 279023616 = 59400^2 + 16704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3807383617) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4442260 + ... + 4443116.

Almost surely, 2^3807383616 is an apocalyptic number.

3807383616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3807383616 is the 61704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807383616

3807383616 is an abundant number, since it is smaller than the sum of its proper divisors (7492079053).

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

3807383616 is an frugal number, since it uses more digits than its factorization.

3807383616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 3807383616 is about 1561.5008042030.

The spelling of 3807383616 in words is "three billion, eight hundred seven million, three hundred eighty-three thousand, six hundred sixteen".