3664259424 has 384 divisors, whose sum is σ = 13072389120. Its totient is φ = 974757888.

The previous prime is 3664259363. The next prime is 3664259429. The reversal of 3664259424 is 4249524663.

3664259424 is a `hidden beast` number, since 36 + 6 + 4 + 2 + 594 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3664259424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664259429) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16141999 + ... + 16142225.

It is an arithmetic number, because the mean of its divisors is an integer number (34042680).

Almost surely, 2^3664259424 is an apocalyptic number.

3664259424 is a gapful number since it is divisible by the number (34) 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 3664259424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536194560).

3664259424 is an abundant number, since it is smaller than the sum of its proper divisors (9408129696).

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

3664259424 is a wasteful number, since it uses less digits than its factorization.

3664259424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3664259424 is about 60533.1266663139. The cubic root of 3664259424 is about 1541.6841394556.

The spelling of 3664259424 in words is "three billion, six hundred sixty-four million, two hundred fifty-nine thousand, four hundred twenty-four".