3203440004100 has 576 divisors, whose sum is σ = 11395970611200. Its totient is φ = 678140682240.

The previous prime is 3203440004081. The next prime is 3203440004111. The reversal of 3203440004100 is 14000443023.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 797071891 + ... + 797075909.

It is an arithmetic number, because the mean of its divisors is an integer number (19784671200).

Almost surely, 2^{3203440004100} is an apocalyptic number.

3203440004100 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 3203440004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697985305600).

3203440004100 is an abundant number, since it is smaller than the sum of its proper divisors (8192530607100).

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

3203440004100 is a wasteful number, since it uses less digits than its factorization.

3203440004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3203440004100 its reverse (14000443023), we get a palindrome (3217440447123).

The spelling of 3203440004100 in words is "three trillion, two hundred three billion, four hundred forty million, four thousand, one hundred".