3264485760 has 512 divisors, whose sum is σ = 12445632000. Its totient is φ = 806215680.

The previous prime is 3264485743. The next prime is 3264485797. The reversal of 3264485760 is 675844623.

3264485760 is a `hidden beast` number, since 32 + 6 + 4 + 48 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20027439 + ... + 20027601.

It is an arithmetic number, because the mean of its divisors is an integer number (24307875).

Almost surely, 2^3264485760 is an apocalyptic number.

3264485760 is a gapful number since it is divisible by the number (30) 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 3264485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222816000).

3264485760 is an abundant number, since it is smaller than the sum of its proper divisors (9181146240).

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

3264485760 is a wasteful number, since it uses less digits than its factorization.

3264485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3264485760 is about 57135.6785205182. The cubic root of 3264485760 is about 1483.4454909372.

The spelling of 3264485760 in words is "three billion, two hundred sixty-four million, four hundred eighty-five thousand, seven hundred sixty".