3423803314176 has 468 divisors, whose sum is σ = 11549783374272. Its totient is φ = 974374797312.

The previous prime is 3423803314117. The next prime is 3423803314177. The reversal of 3423803314176 is 6714133083243.

3423803314176 is a `hidden beast` number, since 3 + 423 + 80 + 3 + 3 + 141 + 7 + 6 = 666.

It is a super-2 number, since 2×3423803314176² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3423803314177) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 475062765 + ... + 475069971.

It is an arithmetic number, because the mean of its divisors is an integer number (24679024304).

Almost surely, 2^{3423803314176} is an apocalyptic number.

3423803314176 is a gapful number since it is divisible by the number (36) 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 3423803314176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774891687136).

3423803314176 is an abundant number, since it is smaller than the sum of its proper divisors (8125980060096).

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

3423803314176 is a wasteful number, since it uses less digits than its factorization.

3423803314176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3423803314176 in words is "three trillion, four hundred twenty-three billion, eight hundred three million, three hundred fourteen thousand, one hundred seventy-six".