3826787328 has 528 divisors, whose sum is σ = 14186856320. Its totient is φ = 1009262592.

The previous prime is 3826787317. The next prime is 3826787333. The reversal of 3826787328 is 8237876283.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294368250 + ... + 294368262.

Almost surely, 2^3826787328 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 3826787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093428160).

3826787328 is an abundant number, since it is smaller than the sum of its proper divisors (10360068992).

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

3826787328 is an frugal number, since it uses more digits than its factorization.

3826787328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 25 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 3826787328 is about 61861.0323871175. The cubic root of 3826787328 is about 1564.1489557090.

The spelling of 3826787328 in words is "three billion, eight hundred twenty-six million, seven hundred eighty-seven thousand, three hundred twenty-eight".