3422004320400 has 60 divisors (see below), whose sum is σ = 10961820510192. Its totient is φ = 912534485120.

The previous prime is 3422004320323. The next prime is 3422004320417. The reversal of 3422004320400 is 40234002243.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3422004320400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425833934 + ... + 1425836333.

Almost surely, 2^{3422004320400} is an apocalyptic number.

3422004320400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3422004320400 is an abundant number, since it is smaller than the sum of its proper divisors (7539816189792).

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

3422004320400 is a wasteful number, since it uses less digits than its factorization.

3422004320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851670288 (or 2851670277 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3422004320400 its reverse (40234002243), we get a palindrome (3462238322643).

The spelling of 3422004320400 in words is "three trillion, four hundred twenty-two billion, four million, three hundred twenty thousand, four hundred".