3965473176 has 192 divisors, whose sum is σ = 12307075200. Its totient is φ = 1057932288.

The previous prime is 3965473163. The next prime is 3965473181. The reversal of 3965473176 is 6713745693.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2778175 + ... + 2779601.

It is an arithmetic number, because the mean of its divisors is an integer number (64099350).

Almost surely, 2^3965473176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965473176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153537600).

3965473176 is an abundant number, since it is smaller than the sum of its proper divisors (8341602024).

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

3965473176 is a wasteful number, since it uses less digits than its factorization.

3965473176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 51.

The square root of 3965473176 is about 62972.0031124944. The cubic root of 3965473176 is about 1582.8205209179.

The spelling of 3965473176 in words is "three billion, nine hundred sixty-five million, four hundred seventy-three thousand, one hundred seventy-six".