3258741024 has 576 divisors, whose sum is σ = 12301712640. Its totient is φ = 821145600.

The previous prime is 3258741023. The next prime is 3258741043. The reversal of 3258741024 is 4201478523.

It is a happy number.

3258741024 is a `hidden beast` number, since 32 + 587 + 41 + 0 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3258741024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3258741023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44640252 + ... + 44640324.

It is an arithmetic number, because the mean of its divisors is an integer number (21357140).

Almost surely, 2^3258741024 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 3258741024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150856320).

3258741024 is an abundant number, since it is smaller than the sum of its proper divisors (9042971616).

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

3258741024 is a wasteful number, since it uses less digits than its factorization.

3258741024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3258741024 is about 57085.3836283860. The cubic root of 3258741024 is about 1482.5748069408.

The spelling of 3258741024 in words is "three billion, two hundred fifty-eight million, seven hundred forty-one thousand, twenty-four".