3220487001600 has 480 divisors, whose sum is σ = 11614289030784. Its totient is φ = 780155289600.

The previous prime is 3220487001509. The next prime is 3220487001631. The reversal of 3220487001600 is 61007840223.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044593659 + ... + 1044596741.

Almost surely, 2^{3220487001600} is an apocalyptic number.

3220487001600 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 3220487001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807144515392).

3220487001600 is an abundant number, since it is smaller than the sum of its proper divisors (8393802029184).

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

3220487001600 is a wasteful number, since it uses less digits than its factorization.

3220487001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 3220487001600 in words is "three trillion, two hundred twenty billion, four hundred eighty-seven million, one thousand, six hundred".