3997544378880 has 640 divisors, whose sum is σ = 14340618141696. Its totient is φ = 943290777600.

The previous prime is 3997544378873. The next prime is 3997544378903. The reversal of 3997544378880 is 888734457993.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3997544378880² (a number of 26 digits) contains 22 as substring.

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, 331163245 + ... + 331175315.

Almost surely, 2^{3997544378880} is an apocalyptic number.

3997544378880 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 3997544378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170309070848).

3997544378880 is an abundant number, since it is smaller than the sum of its proper divisors (10343073762816).

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

3997544378880 is a wasteful number, since it uses less digits than its factorization.

3997544378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12248 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 75.

The spelling of 3997544378880 in words is "three trillion, nine hundred ninety-seven billion, five hundred forty-four million, three hundred seventy-eight thousand, eight hundred eighty".