3980264793120 has 1920 divisors, whose sum is σ = 18068093632512. Its totient is φ = 801239040000.

The previous prime is 3980264793079. The next prime is 3980264793133. The reversal of 3980264793120 is 213974620893.

3980264793120 is a `hidden beast` number, since 398 + 0 + 2 + 6 + 47 + 93 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5299952745 + ... + 5299953495.

Almost surely, 2^{3980264793120} is an apocalyptic number.

3980264793120 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 3980264793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034046816256).

3980264793120 is an abundant number, since it is smaller than the sum of its proper divisors (14087828839392).

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

3980264793120 is a wasteful number, since it uses less digits than its factorization.

3980264793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3980264793120 in words is "three trillion, nine hundred eighty billion, two hundred sixty-four million, seven hundred ninety-three thousand, one hundred twenty".