3208740480 has 640 divisors, whose sum is σ = 13276042560. Its totient is φ = 729907200.

The previous prime is 3208740473. The next prime is 3208740481. The reversal of 3208740480 is 840478023.

3208740480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3208740481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9693915 + ... + 9694245.

Almost surely, 2^3208740480 is an apocalyptic number.

3208740480 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 3208740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638021280).

3208740480 is an abundant number, since it is smaller than the sum of its proper divisors (10067302080).

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

3208740480 is a wasteful number, since it uses less digits than its factorization.

3208740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3208740480 is about 56645.7454713061. The cubic root of 3208740480 is about 1474.9530549073.

The spelling of 3208740480 in words is "three billion, two hundred eight million, seven hundred forty thousand, four hundred eighty".