3964985280 has 336 divisors, whose sum is σ = 14137684704. Its totient is φ = 1019289600.

The previous prime is 3964985257. The next prime is 3964985317. The reversal of 3964985280 is 825894693.

It is a super-2 number, since 2×3964985280² = 31442216541233356800, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12507682 + ... + 12507998.

Almost surely, 2^3964985280 is an apocalyptic number.

3964985280 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 3964985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068842352).

3964985280 is an abundant number, since it is smaller than the sum of its proper divisors (10172699424).

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

3964985280 is a wasteful number, since it uses less digits than its factorization.

3964985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3964985280 is about 62968.1290813059. The cubic root of 3964985280 is about 1582.7556036146.

The spelling of 3964985280 in words is "three billion, nine hundred sixty-four million, nine hundred eighty-five thousand, two hundred eighty".