3260157824 has 128 divisors (see below), whose sum is σ = 8219992320. Its totient is φ = 1250979840.

The previous prime is 3260157787. The next prime is 3260157827. The reversal of 3260157824 is 4287510623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3260157827) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 657884 + ... + 662820.

It is an arithmetic number, because the mean of its divisors is an integer number (64218690).

Almost surely, 2^3260157824 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 3260157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109996160).

3260157824 is an abundant number, since it is smaller than the sum of its proper divisors (4959834496).

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

3260157824 is a wasteful number, since it uses less digits than its factorization.

3260157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 3260157824 is about 57097.7917611531. The cubic root of 3260157824 is about 1482.7896350633.

The spelling of 3260157824 in words is "three billion, two hundred sixty million, one hundred fifty-seven thousand, eight hundred twenty-four".