3980712000 has 224 divisors, whose sum is σ = 13427781120. Its totient is φ = 1038643200.

The previous prime is 3980711951. The next prime is 3980712013. The reversal of 3980712000 is 2170893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1126236 + ... + 1129764.

Almost surely, 2^3980712000 is an apocalyptic number.

3980712000 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 3980712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713890560).

3980712000 is an abundant number, since it is smaller than the sum of its proper divisors (9447069120).

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

3980712000 is a wasteful number, since it uses less digits than its factorization.

3980712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3980712000 is about 63092.8839093602. The cubic root of 3980712000 is about 1584.8454572391.

Adding to 3980712000 its reverse (2170893), we get a palindrome (3982882893).

The spelling of 3980712000 in words is "three billion, nine hundred eighty million, seven hundred twelve thousand".