3422331045504 has 288 divisors, whose sum is σ = 11955998340000. Its totient is φ = 920290074624.

The previous prime is 3422331045431. The next prime is 3422331045541. The reversal of 3422331045504 is 4055401332243.

3422331045504 is a `hidden beast` number, since 3 + 42 + 2 + 3 + 3 + 104 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3422331045504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1596247 + ... + 3064745.

It is an arithmetic number, because the mean of its divisors is an integer number (41513883125).

Almost surely, 2^{3422331045504} is an apocalyptic number.

3422331045504 is a gapful number since it is divisible by the number (34) 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 3422331045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977999170000).

3422331045504 is an abundant number, since it is smaller than the sum of its proper divisors (8533667294496).

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

3422331045504 is a wasteful number, since it uses less digits than its factorization.

3422331045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468560 (or 1468528 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3422331045504 its reverse (4055401332243), we get a palindrome (7477732377747).

The spelling of 3422331045504 in words is "three trillion, four hundred twenty-two billion, three hundred thirty-one million, forty-five thousand, five hundred four".