3836466240 has 224 divisors, whose sum is σ = 12781117440. Its totient is φ = 973142016.

The previous prime is 3836466239. The next prime is 3836466253. The reversal of 3836466240 is 426646383.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3836466192 and 3836466201.

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, 5276757 + ... + 5277483.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^3836466240 is an apocalyptic number.

3836466240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3836466240 is an abundant number, since it is smaller than the sum of its proper divisors (8944651200).

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

3836466240 is a wasteful number, since it uses less digits than its factorization.

3836466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 3836466240 is about 61939.2140731540. The cubic root of 3836466240 is about 1565.4665547839.

The spelling of 3836466240 in words is "three billion, eight hundred thirty-six million, four hundred sixty-six thousand, two hundred forty".