3279415680 has 256 divisors, whose sum is σ = 11692382400. Its totient is φ = 868663296.

The previous prime is 3279415619. The next prime is 3279415687. The reversal of 3279415680 is 865149723.

3279415680 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

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

3279415680 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3279415687) 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, 2988892 + ... + 2989988.

It is a 1-persistent number, because it is pandigital, but 2⋅3279415680 = 6558831360 is not.

Almost surely, 2^3279415680 is an apocalyptic number.

3279415680 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 3279415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846191200).

3279415680 is an abundant number, since it is smaller than the sum of its proper divisors (8412966720).

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

3279415680 is a wasteful number, since it uses less digits than its factorization.

3279415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3279415680 is about 57266.1826910088. The cubic root of 3279415680 is about 1485.7035335936.

The spelling of 3279415680 in words is "three billion, two hundred seventy-nine million, four hundred fifteen thousand, six hundred eighty".