3217904976 has 480 divisors, whose sum is σ = 10971797760. Its totient is φ = 802897920.

The previous prime is 3217904951. The next prime is 3217905007. The reversal of 3217904976 is 6794097123.

It is a happy number.

3217904976 is a nontrivial binomial coefficient, being equal to C(80224, 2).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29522010 + ... + 29522118.

It is an arithmetic number, because the mean of its divisors is an integer number (22857912).

Almost surely, 2^3217904976 is an apocalyptic number.

3217904976 is the 80223-rd triangular number and also the 40112-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3217904976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

3217904976 is an abundant number, since it is smaller than the sum of its proper divisors (7753892784).

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

3217904976 is a wasteful number, since it uses less digits than its factorization.

3217904976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 3217904976 is about 56726.5808594172. The cubic root of 3217904976 is about 1476.3559265318.

The spelling of 3217904976 in words is "three billion, two hundred seventeen million, nine hundred four thousand, nine hundred seventy-six".