3997428718080 has 1920 divisors, whose sum is σ = 15960607027200. Its totient is φ = 849873862656.

The previous prime is 3997428718057. The next prime is 3997428718093. The reversal of 3997428718080 is 808178247993.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3997428718080² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50600363481 + ... + 50600363559.

It is an arithmetic number, because the mean of its divisors is an integer number (8312816160).

Almost surely, 2^{3997428718080} is an apocalyptic number.

3997428718080 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 3997428718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980303513600).

3997428718080 is an abundant number, since it is smaller than the sum of its proper divisors (11963178309120).

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

3997428718080 is a wasteful number, since it uses less digits than its factorization.

3997428718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 3997428718080 in words is "three trillion, nine hundred ninety-seven billion, four hundred twenty-eight million, seven hundred eighteen thousand, eighty".