3997388989440 has 3168 divisors, whose sum is σ = 18706335717888. Its totient is φ = 770782003200.

The previous prime is 3997388989423. The next prime is 3997388989499. The reversal of 3997388989440 is 449898837993.

3997388989440 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 3 + 88 + 98 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×3997388989440² (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 3997388989440.

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 287 ways as a sum of consecutive naturals, for example, 54758753244 + ... + 54758753316.

Almost surely, 2^{3997388989440} is an apocalyptic number.

3997388989440 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 3997388989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353167858944).

3997388989440 is an abundant number, since it is smaller than the sum of its proper divisors (14708946728448).

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

3997388989440 is a wasteful number, since it uses less digits than its factorization.

3997388989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 3997388989440 in words is "three trillion, nine hundred ninety-seven billion, three hundred eighty-eight million, nine hundred eighty-nine thousand, four hundred forty".