3217861920 has 384 divisors, whose sum is σ = 13021876224. Its totient is φ = 649211904.

The previous prime is 3217861903. The next prime is 3217861931. The reversal of 3217861920 is 291687123.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1003039 + ... + 1006241.

It is an arithmetic number, because the mean of its divisors is an integer number (33911136).

Almost surely, 2^3217861920 is an apocalyptic number.

3217861920 is a gapful number since it is divisible by the number (30) 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 3217861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510938112).

3217861920 is an abundant number, since it is smaller than the sum of its proper divisors (9804014304).

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

3217861920 is a wasteful number, since it uses less digits than its factorization.

3217861920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 3217861920 is about 56726.2013535192. The cubic root of 3217861920 is about 1476.3493418890.

The spelling of 3217861920 in words is "three billion, two hundred seventeen million, eight hundred sixty-one thousand, nine hundred twenty".