3997330740480 has 576 divisors, whose sum is σ = 15980353837056. Its totient is φ = 827289600000.

The previous prime is 3997330740451. The next prime is 3997330740517. The reversal of 3997330740480 is 840470337993.

It is a happy number.

It is a super-2 number, since 2×3997330740480² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3997330740480.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 74188750 + ... + 74242610.

It is an arithmetic number, because the mean of its divisors is an integer number (27743669856).

Almost surely, 2^{3997330740480} is an apocalyptic number.

3997330740480 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 3997330740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990176918528).

3997330740480 is an abundant number, since it is smaller than the sum of its proper divisors (11983023096576).

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

3997330740480 is a wasteful number, since it uses less digits than its factorization.

3997330740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54154 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 3997330740480 in words is "three trillion, nine hundred ninety-seven billion, three hundred thirty million, seven hundred forty thousand, four hundred eighty".