3228662680320 has 576 divisors, whose sum is σ = 12864677769216. Its totient is φ = 670435491840.

The previous prime is 3228662680267. The next prime is 3228662680349. The reversal of 3228662680320 is 230862668223.

It is a super-2 number, since 2×3228662680320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3228662680320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599340667 + ... + 599346053.

It is an arithmetic number, because the mean of its divisors is an integer number (22334510016).

Almost surely, 2^{3228662680320} is an apocalyptic number.

3228662680320 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 3228662680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432338884608).

3228662680320 is an abundant number, since it is smaller than the sum of its proper divisors (9636015088896).

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

3228662680320 is a wasteful number, since it uses less digits than its factorization.

3228662680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 3228662680320 in words is "three trillion, two hundred twenty-eight billion, six hundred sixty-two million, six hundred eighty thousand, three hundred twenty".