3202109488704 has 448 divisors, whose sum is σ = 10318083747840. Its totient is φ = 857016115200.

The previous prime is 3202109488691. The next prime is 3202109488729. The reversal of 3202109488704 is 4078849012023.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253064842 + ... + 253077494.

Almost surely, 2^{3202109488704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3202109488704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159041873920).

3202109488704 is an abundant number, since it is smaller than the sum of its proper divisors (7115974259136).

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

3202109488704 is a wasteful number, since it uses less digits than its factorization.

3202109488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12888 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 3202109488704 in words is "three trillion, two hundred two billion, one hundred nine million, four hundred eighty-eight thousand, seven hundred four".