3980435235840 has 3168 divisors, whose sum is σ = 18102905533440. Its totient is φ = 802632499200.

The previous prime is 3980435235817. The next prime is 3980435235877. The reversal of 3980435235840 is 485325340893.

3980435235840 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 4 + 3 + 52 + 3 + 584 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54526510044 + ... + 54526510116.

Almost surely, 2^{3980435235840} is an apocalyptic number.

3980435235840 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 3980435235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051452766720).

3980435235840 is an abundant number, since it is smaller than the sum of its proper divisors (14122470297600).

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

3980435235840 is a wasteful number, since it uses less digits than its factorization.

3980435235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3980435235840 in words is "three trillion, nine hundred eighty billion, four hundred thirty-five million, two hundred thirty-five thousand, eight hundred forty".