3286468480 has 64 divisors (see below), whose sum is σ = 7894273680. Its totient is φ = 1308303360.

The previous prime is 3286468453. The next prime is 3286468481. The reversal of 3286468480 is 848646823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3286468481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122872 + ... + 147208.

Almost surely, 2^3286468480 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 3286468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947136840).

3286468480 is an abundant number, since it is smaller than the sum of its proper divisors (4607805200).

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

3286468480 is a wasteful number, since it uses less digits than its factorization.

3286468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24567 (or 24555 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The square root of 3286468480 is about 57327.7287183087. The cubic root of 3286468480 is about 1486.7678357110.

The spelling of 3286468480 in words is "three billion, two hundred eighty-six million, four hundred sixty-eight thousand, four hundred eighty".