3260457984 has 352 divisors, whose sum is σ = 10547716096. Its totient is φ = 875888640.

The previous prime is 3260457983. The next prime is 3260458021. The reversal of 3260457984 is 4897540623.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3260457983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44663772 + ... + 44663844.

Almost surely, 2^3260457984 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 3260457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273858048).

3260457984 is an abundant number, since it is smaller than the sum of its proper divisors (7287258112).

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

3260457984 is a wasteful number, since it uses less digits than its factorization.

3260457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3260457984 is about 57100.4201735854. The cubic root of 3260457984 is about 1482.8351400666.

The spelling of 3260457984 in words is "three billion, two hundred sixty million, four hundred fifty-seven thousand, nine hundred eighty-four".