3304400400020 has 48 divisors (see below), whose sum is σ = 7186253331600. Its totient is φ = 1274808299520.

The previous prime is 3304400400017. The next prime is 3304400400043. The reversal of 3304400400020 is 200040044033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1168119993616 + 2136280406404 = 1080796^2 + 1461602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3304400399965 and 3304400400001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2527511 + ... + 3605150.

It is an arithmetic number, because the mean of its divisors is an integer number (149713611075).

Almost surely, 2^{3304400400020} is an apocalyptic number.

It is an amenable number.

3304400400020 is an abundant number, since it is smaller than the sum of its proper divisors (3881852931580).

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

3304400400020 is a wasteful number, since it uses less digits than its factorization.

3304400400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133628 (or 6133626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 3304400400020 its reverse (200040044033), we get a palindrome (3504440444053).

The spelling of 3304400400020 in words is "three trillion, three hundred four billion, four hundred million, four hundred thousand, twenty".