3964317720 has 256 divisors, whose sum is σ = 14336455680. Its totient is φ = 865075200.

The previous prime is 3964317713. The next prime is 3964317733. The reversal of 3964317720 is 277134693.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512280 + ... + 519960.

It is an arithmetic number, because the mean of its divisors is an integer number (56001780).

Almost surely, 2^3964317720 is an apocalyptic number.

3964317720 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 3964317720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168227840).

3964317720 is an abundant number, since it is smaller than the sum of its proper divisors (10372137960).

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

3964317720 is a wasteful number, since it uses less digits than its factorization.

3964317720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 3964317720 is about 62962.8280813370. The cubic root of 3964317720 is about 1582.6667723783. Note that the first 3 decimals are identical.

The spelling of 3964317720 in words is "three billion, nine hundred sixty-four million, three hundred seventeen thousand, seven hundred twenty".