3980036736000 has 2464 divisors, whose sum is σ = 17063372577888. Its totient is φ = 917294284800.

The previous prime is 3980036735993. The next prime is 3980036736019. The reversal of 3980036736000 is 6376300893.

It is a happy number.

3980036736000 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 0 + 36 + 7 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3405885014016 + 574151721984 = 1845504^2 + 757728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 20621951904 + ... + 20621952096.

Almost surely, 2^{3980036736000} is an apocalyptic number.

3980036736000 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 3980036736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531686288944).

3980036736000 is an abundant number, since it is smaller than the sum of its proper divisors (13083335841888).

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

3980036736000 is a wasteful number, since it uses less digits than its factorization.

3980036736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3980036736000 in words is "three trillion, nine hundred eighty billion, thirty-six million, seven hundred thirty-six thousand".