3217777680 has 640 divisors, whose sum is σ = 12479201280. Its totient is φ = 676823040.

The previous prime is 3217777669. The next prime is 3217777727. The reversal of 3217777680 is 867777123.

It is a happy number.

3217777680 is digitally balanced in base 2, because in such base 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31240509 + ... + 31240611.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^3217777680 is an apocalyptic number.

3217777680 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 3217777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239600640).

3217777680 is an abundant number, since it is smaller than the sum of its proper divisors (9261423600).

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

3217777680 is a wasteful number, since it uses less digits than its factorization.

3217777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The square root of 3217777680 is about 56725.4588346361. The cubic root of 3217777680 is about 1476.3364587224.

The spelling of 3217777680 in words is "three billion, two hundred seventeen million, seven hundred seventy-seven thousand, six hundred eighty".