3206480640 has 432 divisors, whose sum is σ = 11535224064. Its totient is φ = 758292480.

The previous prime is 3206480617. The next prime is 3206480647. The reversal of 3206480640 is 460846023.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3206480647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31130829 + ... + 31130931.

Almost surely, 2^3206480640 is an apocalyptic number.

3206480640 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 3206480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767612032).

3206480640 is an abundant number, since it is smaller than the sum of its proper divisors (8328743424).

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

3206480640 is a wasteful number, since it uses less digits than its factorization.

3206480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3206480640 is about 56625.7948288587. The cubic root of 3206480640 is about 1474.6067154088.

The spelling of 3206480640 in words is "three billion, two hundred six million, four hundred eighty thousand, six hundred forty".