3980546430720 has 576 divisors, whose sum is σ = 13152298199040. Its totient is φ = 1025556480000.

The previous prime is 3980546430709. The next prime is 3980546430733. The reversal of 3980546430720 is 270346450893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4644744532 + ... + 4644745388.

It is an arithmetic number, because the mean of its divisors is an integer number (22833851040).

Almost surely, 2^{3980546430720} is an apocalyptic number.

3980546430720 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 3980546430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576149099520).

3980546430720 is an abundant number, since it is smaller than the sum of its proper divisors (9171751768320).

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

3980546430720 is a wasteful number, since it uses less digits than its factorization.

3980546430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3980546430720 in words is "three trillion, nine hundred eighty billion, five hundred forty-six million, four hundred thirty thousand, seven hundred twenty".