3980405257920 has 1792 divisors, whose sum is σ = 18405792276480. Its totient is φ = 785815437312.

The previous prime is 3980405257919. The next prime is 3980405257999. The reversal of 3980405257920 is 297525040893.

3980405257920 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 40 + 5 + 2 + 579 + 20 = 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 255 ways as a sum of consecutive naturals, for example, 2579652669 + ... + 2579654211.

It is an arithmetic number, because the mean of its divisors is an integer number (10271089440).

Almost surely, 2^{3980405257920} is an apocalyptic number.

3980405257920 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 3980405257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202896138240).

3980405257920 is an abundant number, since it is smaller than the sum of its proper divisors (14425387018560).

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

3980405257920 is a wasteful number, since it uses less digits than its factorization.

3980405257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3980405257920 in words is "three trillion, nine hundred eighty billion, four hundred five million, two hundred fifty-seven thousand, nine hundred twenty".