3220807196640 has 384 divisors, whose sum is σ = 11171457335808. Its totient is φ = 773523578880.

The previous prime is 3220807196599. The next prime is 3220807196641. The reversal of 3220807196640 is 466917080223.

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 3220807196640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220807196641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287643522 + ... + 287654718.

It is an arithmetic number, because the mean of its divisors is an integer number (29092336812).

Almost surely, 2^{3220807196640} is an apocalyptic number.

3220807196640 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 3220807196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585728667904).

3220807196640 is an abundant number, since it is smaller than the sum of its proper divisors (7950650139168).

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

3220807196640 is a wasteful number, since it uses less digits than its factorization.

3220807196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3220807196640 in words is "three trillion, two hundred twenty billion, eight hundred seven million, one hundred ninety-six thousand, six hundred forty".