3826846296 has 480 divisors, whose sum is σ = 13718960640. Its totient is φ = 987614208.

The previous prime is 3826846271. The next prime is 3826846313. The reversal of 3826846296 is 6926486283.

3826846296 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 8 + 4 + 629 + 6 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30132585 + ... + 30132711.

It is an arithmetic number, because the mean of its divisors is an integer number (28581168).

Almost surely, 2^3826846296 is an apocalyptic number.

3826846296 is a gapful number since it is divisible by the number (36) 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 3826846296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859480320).

3826846296 is an abundant number, since it is smaller than the sum of its proper divisors (9892114344).

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

3826846296 is a wasteful number, since it uses less digits than its factorization.

3826846296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

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

The square root of 3826846296 is about 61861.5090019634. The cubic root of 3826846296 is about 1564.1569897990.

The spelling of 3826846296 in words is "three billion, eight hundred twenty-six million, eight hundred forty-six thousand, two hundred ninety-six".