3982964244480 has 720 divisors, whose sum is σ = 15420995326464. Its totient is φ = 980358266880.

The previous prime is 3982964244461. The next prime is 3982964244551. The reversal of 3982964244480 is 844424692893.

3982964244480 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 96 + 424 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3982964244480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258777585 + ... + 258792975.

Almost surely, 2^{3982964244480} is an apocalyptic number.

3982964244480 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 3982964244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710497663232).

3982964244480 is an abundant number, since it is smaller than the sum of its proper divisors (11438031081984).

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

3982964244480 is an equidigital number, since it uses as much as digits as its factorization.

3982964244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15452 (or 15414 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 3982964244480 in words is "three trillion, nine hundred eighty-two billion, nine hundred sixty-four million, two hundred forty-four thousand, four hundred eighty".