3980016768 has 384 divisors, whose sum is σ = 13537782720. Its totient is φ = 1026514944.

The previous prime is 3980016767. The next prime is 3980016769. The reversal of 3980016768 is 8676100893.

It is an interprime number because it is at equal distance from previous prime (3980016767) and next prime (3980016769).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3980016768² = 31681066947122331648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3980016763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12964071 + ... + 12964377.

Almost surely, 2^3980016768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768891360).

3980016768 is an abundant number, since it is smaller than the sum of its proper divisors (9557765952).

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

3980016768 is a wasteful number, since it uses less digits than its factorization.

3980016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 3980016768 is about 63087.3740775442. The cubic root of 3980016768 is about 1584.7531873614.

The spelling of 3980016768 in words is "three billion, nine hundred eighty million, sixteen thousand, seven hundred sixty-eight".