3217620672 has 420 divisors, whose sum is σ = 11351910240. Its totient is φ = 898200576.

The previous prime is 3217620661. The next prime is 3217620737. The reversal of 3217620672 is 2760267123.

It is a happy number.

3217620672 is a `hidden beast` number, since 3 + 21 + 7 + 620 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13462729 + ... + 13462967.

Almost surely, 2^3217620672 is an apocalyptic number.

3217620672 is a gapful number since it is divisible by the number (32) 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 3217620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675955120).

3217620672 is an abundant number, since it is smaller than the sum of its proper divisors (8134289568).

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

3217620672 is a wasteful number, since it uses less digits than its factorization.

3217620672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3217620672 is about 56724.0748888865. The cubic root of 3217620672 is about 1476.3124462487.

Adding to 3217620672 its reverse (2760267123), we get a palindrome (5977887795).

The spelling of 3217620672 in words is "three billion, two hundred seventeen million, six hundred twenty thousand, six hundred seventy-two".