3243826440 has 384 divisors, whose sum is σ = 11788882560. Its totient is φ = 799248384.

The previous prime is 3243826409. The next prime is 3243826489. The reversal of 3243826440 is 446283423.

3243826440 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 8 + 2 + 644 + 0 = 666.

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 = 3243826395 and 3243826404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11070934 + ... + 11071226.

It is an arithmetic number, because the mean of its divisors is an integer number (30700215).

Almost surely, 2^3243826440 is an apocalyptic number.

3243826440 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 3243826440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894441280).

3243826440 is an abundant number, since it is smaller than the sum of its proper divisors (8545056120).

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

3243826440 is a wasteful number, since it uses less digits than its factorization.

3243826440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

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

The square root of 3243826440 is about 56954.5998142380. The cubic root of 3243826440 is about 1480.3095347222.

The spelling of 3243826440 in words is "three billion, two hundred forty-three million, eight hundred twenty-six thousand, four hundred forty".