3826344240 has 120 divisors (see below), whose sum is σ = 12944269728. Its totient is φ = 1012884480.

The previous prime is 3826344191. The next prime is 3826344257. The reversal of 3826344240 is 424436283.

3826344240 is a `hidden beast` number, since 382 + 6 + 34 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3826344195 and 3826344204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79245 + ... + 118035.

Almost surely, 2^3826344240 is an apocalyptic number.

3826344240 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 3826344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472134864).

3826344240 is an abundant number, since it is smaller than the sum of its proper divisors (9117925488).

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

3826344240 is a wasteful number, since it uses less digits than its factorization.

3826344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38947 (or 38938 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3826344240 is about 61857.4509659103. The cubic root of 3826344240 is about 1564.0885845827.

The spelling of 3826344240 in words is "three billion, eight hundred twenty-six million, three hundred forty-four thousand, two hundred forty".