3826289664 has 132 divisors (see below), whose sum is σ = 11458270824. Its totient is φ = 1275346944.

The previous prime is 3826289651. The next prime is 3826289681. The reversal of 3826289664 is 4669826283.

3826289664 is a `hidden beast` number, since 3 + 8 + 2 + 628 + 9 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3826289664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241144 + ... + 256520.

It is an arithmetic number, because the mean of its divisors is an integer number (86805082).

Almost surely, 2^3826289664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729135412).

3826289664 is an abundant number, since it is smaller than the sum of its proper divisors (7631981160).

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

3826289664 is an equidigital number, since it uses as much as digits as its factorization.

3826289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15412 (or 15382 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3826289664 is about 61857.0098210381. The cubic root of 3826289664 is about 1564.0811482327.

The spelling of 3826289664 in words is "three billion, eight hundred twenty-six million, two hundred eighty-nine thousand, six hundred sixty-four".