3240382464 has 312 divisors, whose sum is σ = 10457482464. Its totient is φ = 958464000.

The previous prime is 3240382447. The next prime is 3240382511. The reversal of 3240382464 is 4642830423.

3240382464 is a `hidden beast` number, since 3 + 2 + 403 + 8 + 246 + 4 = 666.

It is a super-2 number, since 2×3240382464² = 21000157025997422592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24735679 + ... + 24735809.

It is an arithmetic number, because the mean of its divisors is an integer number (33517572).

Almost surely, 2^3240382464 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 3240382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228741232).

3240382464 is an abundant number, since it is smaller than the sum of its proper divisors (7217100000).

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

3240382464 is a wasteful number, since it uses less digits than its factorization.

3240382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

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

The square root of 3240382464 is about 56924.3573876772. The cubic root of 3240382464 is about 1479.7854668342.

The spelling of 3240382464 in words is "three billion, two hundred forty million, three hundred eighty-two thousand, four hundred sixty-four".