3980113920 has 288 divisors, whose sum is σ = 14526766800. Its totient is φ = 1005060096.

The previous prime is 3980113877. The next prime is 3980113979. The reversal of 3980113920 is 293110893.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1749904 + ... + 1752176.

Almost surely, 2^3980113920 is an apocalyptic number.

3980113920 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 3980113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263383400).

3980113920 is an abundant number, since it is smaller than the sum of its proper divisors (10546652880).

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

3980113920 is a wasteful number, since it uses less digits than its factorization.

3980113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3980113920 is about 63088.1440525872. The cubic root of 3980113920 is about 1584.7660818372.

The spelling of 3980113920 in words is "three billion, nine hundred eighty million, one hundred thirteen thousand, nine hundred twenty".