3217779972 has 96 divisors (see below), whose sum is σ = 9127762560. Its totient is φ = 972195840.

The previous prime is 3217779947. The next prime is 3217779991. The reversal of 3217779972 is 2799777123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415528 + ... + 423200.

It is an arithmetic number, because the mean of its divisors is an integer number (95080860).

Almost surely, 2^3217779972 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 3217779972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563881280).

3217779972 is an abundant number, since it is smaller than the sum of its proper divisors (5909982588).

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

3217779972 is a wasteful number, since it uses less digits than its factorization.

3217779972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8042 counting only the distinct ones).

The product of its digits is 2333772, while the sum is 54.

The square root of 3217779972 is about 56725.4790372016. The cubic root of 3217779972 is about 1476.3368092502.

The spelling of 3217779972 in words is "three billion, two hundred seventeen million, seven hundred seventy-nine thousand, nine hundred seventy-two".