3980670900 has 144 divisors (see below), whose sum is σ = 12024647040. Its totient is φ = 1015718400.

The previous prime is 3980670893. The next prime is 3980670901. The reversal of 3980670900 is 90760893.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980670901) by changing a digit.

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, 674161 + ... + 680039.

Almost surely, 2^3980670900 is an apocalyptic number.

3980670900 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 3980670900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012323520).

3980670900 is an abundant number, since it is smaller than the sum of its proper divisors (8043976140).

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

3980670900 is a wasteful number, since it uses less digits than its factorization.

3980670900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3980670900 is about 63092.5581982535. The cubic root of 3980670900 is about 1584.8400028236.

The spelling of 3980670900 in words is "three billion, nine hundred eighty million, six hundred seventy thousand, nine hundred".