3980538240000 has 1760 divisors, whose sum is σ = 16108827525120. Its totient is φ = 853991424000.

The previous prime is 3980538239981. The next prime is 3980538240011. The reversal of 3980538240000 is 428350893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24420479919 + ... + 24420480081.

It is an arithmetic number, because the mean of its divisors is an integer number (9152742912).

Almost surely, 2^{3980538240000} is an apocalyptic number.

3980538240000 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 3980538240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054413762560).

3980538240000 is an abundant number, since it is smaller than the sum of its proper divisors (12128289285120).

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

3980538240000 is a wasteful number, since it uses less digits than its factorization.

3980538240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 3980538240000 in words is "three trillion, nine hundred eighty billion, five hundred thirty-eight million, two hundred forty thousand".